MCQ's Vectors

1. Two forces of 10 N and 7 N are applied to an object. The maximum value of their resultant is A. 17 NB. 10 NC. 70 ND. 7 N2. The scalar product of two vectors is negative when A. They are parallel B. They are anti-parallel C. They are perpendicular D. They are rotated through 180

3. The cross product of two vectors is negative vector if they are A. ParallelB. rotated through 270C. Anti-parallelD. Perpendicular 4. The magnitude of the resultant of two equal F and F is F when they are inclined at an angle of A. 0B. 120C. 90D. 180 5. When a vector is multiplied by a negative number greater than one, there is change inA. Its magnitude only B. its direction only C. Its magnitude and directionD. None of these6. The dot product of force and velocity vectors is equal toA. Work doneB. Potential energyC. PowerD. All of these7. Torque is the cross product of A. Force and Velocity B. Force an moment C. mass and acceleration D. Power and time8. The magnitude of the cross product of two vectors is equal toA. Area of triangle B. Area of square C. Area of parallelogram D. perimeter of rectangle 9. For two parallel vectors AxB is equal to A. 1B. 0C. ID. j

10. Which of the following is a vector quantity?A. EnergyB. TimeC. DisplacementD. Distance11. jxi =A. 1B. 0C. kD. k12. If I is a unit vector along x-axis, then i.i = ____A. 0B. 1C. -1D. j13. If position of a point (2,-1, 3) then position vector can be written as A. 2i +j +3kB. 2j-i+3kC. 2k-j +3iD. 2i-j+3k14. Cross product obeys A. Commutative law of addition B. Anti-commutative law of additionB. Commutative law of multiplicationD. Anti-commutative law of multiplication15. For self product A.A = ____A. 0B. 1C. -1D. A216. A vector whose magnitude is zero is calledA. Position vectorB. Free Vector C. Null vectorD. Unit vector17. if a vector of 10 N is along x-axis, its y component will beA. 10 NB. 0 NC. 100 ND. 5 N18. If F = 2i 3j + 4k and r = I + 4j + 5k, then the work done will be A. 22 JB. 10 JC. 12 JD. 0 J19. If A . B = 0, then the vectors A and B areA. Parallel to each otherB. Anti-parallel to each other C. Perpendicular to each other D. None of these20. Resultant of two equal but opposite vectors is A. Unit vectorB. Null vectorC. Free vectorD. Position vector1- Whats the resultant of 3N and 4N forces acting at right anglesa-90Nb-5Nc-7Nd-1N2-If A cross B is along z-axis then vectors A and B will lie ina- zx planeb- xy planec- yz planed-none3-If A= 2i+4j+5k and B=-2i+2j+k. then A.B isa-ob-1c--1d-24-Parallel vectors of same magnitudea-equalb-unequalc-when added, give the sum zerod-when multiplied give the sum zero5-When the magnitude of two components of vectors are equal to that of their resultant, then the angle b/w components ida-60b-90c-120d-none6-If two unit vectors are inclined at angle of 90, then magnitude of their resultant isa-2b- 21/2c-under root 3d-zero7-If the vectors A and B represented in such a way that A+B=A-B, then the angle b/w A and B iaa-ob-60c-90d-1808-The magnitude of dot and cross product of two vectors is 10 in each case. find the angle b/w two vectorsa-45b-60c-90d-o9-If A*B=-B*A then angle b/w A and B isa-180b180/3c-180/2d-180/410-Which of the following physical quantities are represented by axial vectorsa-displacementb-forcec-velocityd-torque11-The two vectors have magnitude 3 and 5. if angle b/w them is 60, then dot product of two vectors isa-7.5b-6.5c-8.4d-7.912-The minimum number of vectors of equal magnitude required to produce a zero resultant isa-2b-4c-3d-none13-The minimum number of vectors of unequal magnitude required to produce a zero resultant isa-2b-3c-4d-infinity14-two forces of numerically equal to 10dynes are acting ,then the resultant isa-10dynesb-20dynesc-10(3)^1/2 dyned-5dynes15-what is the angle between i+j+k and ia-180/6b-180/4c-180/3d-none

1>Which of the following is a Vector?i> Energyii> Poweriii> Forceiv> Mass2>Which of the following is a vector?i> Timeii> Workiii> Heativ> Momentum3>Which of the following is a scalar?i> Elementary areaii> Kinetic energyiii> Weight of a bodyiv> Wind velocity4>Which of the following is a scalar?i> Electric fieldii> Magnetic Momentiii> Accelerationiv> Electrostatic Potential5>Angular Momentum is:i> A scalarii> A polar vectoriii> An axial vectoriv> Same as torque6>Moment of inertia is:i> A scalarii> A vectoriii> A tensoriv> Same as mass7>is:i> A scalarii> A vectoriii> Neither scalar nor vectoriv> A tensor8>is:i> A scalarii> A vectoriii> Neither scalar nor vectoriv> A tensor9>Which of the following is a scalar?i> Mass of nucleusii> Charge of protoniii> Wind velocityiv> Energy of a thermal neutron10>Pressure is a:i> A scalarii> Axial vectoriii> Polar vectoriv> Neither scalar nor vector11>Electric Current in a circuit is shown by arrow ; Current is:i> A scalarii> A vectoriii> Sometimes a scalar and sometimes a vectoriv> Neither vector nor a scalar12>Referring to the following figure, the correct relation is:

Vector MCQi>ii>iii>iv>13>Referring to the following figure ; the correct relation is:

Vector MCQi>ii>iii>iv>14>When two vectorsandof magnitudes a and b are added ; the magnitude of resultant vector is:i> equal to (a+b)ii> equal to (a-b)iii> not more thaniv> Not greater than (a+b)15>The minimum numbers of coplanar vectors of unequal magnitudes whose vector sum can be zero is:1> Twoii> Threeiii> Fouriv> Any16>Minimum number of space vectors of unequal magnitudes whose sum is equal to zero is:i> twoii> threeiii> fouriv> any17>Two vectorsandie in a plane ; a third vectorlie outside this plane ; then the sum of these three vectors ;:i> Can be zero.ii> Can never be zeroiii> Lies in the place containingiv> Lies in the plain containing18>Two vectorsandare such thatThen the angle between vectorsand is:i> zero degreeii> 60 degreesiii> 90 degreesiv> 180 degrees19>Two vectorsandare such that, then the angles between the vectorsandis:i> zero degreeii> 45 degreesiii> 90 degreesiv> 180 degrees20>For the resultant of two vectors to be maximum the angle between them should be:i> zero degreeii> 60 degreesiii> 90 degreesiv> 180 degrees21>The magnitudes of sets of three vectors of same type are given below. The resultant of which set can not be zero?i> 10, 10 , 10ii> 10, 10 , 20iii> 10 , 20 , 10iv> 10 , 20 , 4022>Two forces of 6N and 8N can be applied to produce an effect of a single force of:i> 1 Nii> 15 Niii> 11 Niv> 20 N23>A car is moving on a road , when rain is falling vertically downward , Rain will strike:i> Front screenii> Wind screeniii> Both the screens equallyiv> No screen but roof24>A particle is moving eastward with a velocity of 5m/s . In 10 s the velocity changes to 5 m/s northward. The average acceleration is:i> Zeroii>toward south-westiii>towards north-westiv>towards north25>Two vectorsandwill be perpendicular if:i>ii>iii>iv>26>Ifis the unit vector along the direction ofthen:i>ii>iii>iv>27>A force has magnitude 20N. Its one rectangular component is 12N , the other rectangular component must be:i> 8Nii> 14 Niii> 16 Niv> 32 N28>A river flowing west to east at speed 3 m/min. A man on the south bank of the river , capable of swimming at 6m/min in still water , wants to swim across the river in shortest time. He should swim in a direction:i> Due northii> 30 degrees west of northiii> 30 degrees east of northiv> 60 degrees east of north29>In question 28 , If the man wants to swim across the river following the shortest path, then he should swim in a direction:i> Due northii> 30 degrees west of northiii> 30 degrees east of northiv> 60 degrees east of north30>The resultant of two vectors of unequal magnitudres is equal to the magnitude of the either. The angle between the vector is:i> 60 degreesii> 90 degreesiii> 120 degreesiv> 180 degrees31>In a right handed system:i>ii>iii>iv>32>The angle betweenandis:i>ii>iii>iv>33>The angle betweenandis:i>ii>iii>iv>34>If two vectorsandare at right angles to each other, then the value of n must be:i> 2ii> -2iii> 1iv> -135>Consider a vector, The vector which is perpendicular tois:i>ii>iii>iv>36>The unit vector alongis:i>ii>iii>iv>37>The unit vector alongis:i>ii>iii>iv>38>A vectoris along the positive X-axis. If the vector product of its with another vectoris zero , thencould be:i>ii>iii>iv>39>Givenand P+Q = R , then the angle betweenandis:i> zeroii>iii>iv>40>Givenand, then the angle betweenandis:i> zeroii>iii>iv>41>Forcesandact on a point mass in two mutually perpendicular directions. The magnitude of the resultant force on the point mass will be:i>ii>iii>iv>42>A boat which has a speed of 5 km/hr in still water crosses a river of width 1Km along the shortest possible path on 15 minutes. The velocity of the river in Km/hr is:i> 1ii> 3iii> 4iv>43>A boat is sent across a river with a velocity of 8Km/hr . If the resultant velocity of the boat is 10Km/hr , the velocity of river flow is:i> 12.8 Km/hrii> 6 Km/hriii> 8 Km/hriv> 10 Km/hr44>If the position vector of a particle isthen the velocity vector of the particle is:i> Parallel to position vectorii> perpendicular to position vectoriii> directed towards the originiv> directed away from the origin45>The angle made by a vectorwith Y-axis is:i>ii>iii>iv>46>The angle made by the two vectorsandis:i> zeroii> 45 degreesiii> 90 degreesiv> 180 degrees47>A body considered to move in Y-axis is subjected to a force given byNewton. What is the work done by the force in moving the body a distance of 10 meters along the Y-axis?i> 190 Jii> 160 Jiii> 150 Jiv> 20 J48>The scalar and vector product of two vectors have magnitudeand 6 units respectively. The angle between the two vectors must be:i> 30 degreesii> 45 degreesiii> 60 degreesiv> 90 degrees49>At what angle should the two vectors 2F andact so that the resultant force is.i> 120 degreesii> 90 degreesiii> 60 degreesiv> 45 degrees50>A vectorof magnitudeunits and another vectorof magnitudeunits are inclined to each other at an angle of 30 degrees. The magnitude of the vector product of these two vectors is:i> 10 unitsii>unitsiii>unitsiv> 75 unitsAnswers to Worksheet:1>iii 2>iv 3>ii 4>iv 5>iii6>iii 7>i 8>ii 9>iii 10>i11>i 12>iii 13>iv 14>iv 15>ii16>iii 17>ii 18>iii 19>ii 20>i21>iv 22>iii 23>i 24>iii 25>ii26>iii 27>iii 28>i 29>ii 30>iii31>i 32> ii 33>iv 34>iv 35>iii36>iii 37>iv 38>iv 39>i 40>iii41>ii 42>ii 43>ii 44>ii 45>ii46>i 47>iii 48>iii 49>iv 50>iii