Which of the sets given below may represent the magnitude of resultant of three vectors adding to zero?

(A)  2, 4, 8

(B)  4, 8, 16

(C)  1, 2, 1

(D)  0.5, 1, 2

Concept Questions :-

Resultant of Vectors
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A blind person after walking 10 steps in one direction, each of length 80 cm, turns randomly to the left or to the right by 90°. After walking a total of 40 steps the maximum possible displacement of the person from his starting position could be -

(A)  320 m

(B)  32 m

(C)  16/2 m

(D)  162 m

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Resultant of Vectors
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The resultant of two vectors A and B is perpendicular to the vector A and its magnitude is equal to half the magnitude of vector B. The angle between A and B is -

                               

1. 120°

2.  150°

3.  135°

4.  None of these

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Resultant of Vectors
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The three vectors OA, OB and OC have the same magnitude R. Then the sum of these vectors have magnitude -

                       

(A)  R

(B)  2R

(C)  3R

(D)  1+2R

Concept Questions :-

Resultant of Vectors
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A truck travelling due north with 20m/s turns towards west and travels at the same speed. Then the change in velocity is -

(A)  40 m/s north-west

(B)  202 m/s north-west

(C)  40 m/s south-west

(D)  202 m/s south-west

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A particle is moving in a circle of radius r centered at O with constant speed v. The change in velocity moving from A to B AOB=40° is -

(A)  2v cos 40°

(B)  2v sin 40°

(C)  2v cos 20°

(D)  2v sin 20°

Concept Questions :-

Resultant of Vectors
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If A=B+C and magnitudes of A, B and C are 5, 4 and 3 units respectively, the angle between A and C is -

(A)  sin-1 3/4

(B)  cos-1 4/5

(C)  cos-1 3/5

(D)  π/2

Concept Questions :-

Resultant of Vectors
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What is the resultant of three coplanar forces: 300 N at 0°400 N at 30° and 400 N at 150°?

1.  500 N

2.  700 N

3.  1100 N

4.  300 N

Concept Questions :-

Resultant of Vectors
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Two forces, F1 and F2 are acting on a body. One force is doubled of the other force and the resultant is equal to the greater force. Then the angle between the two forces is -

(A)  cos-1 1/2

(B)  cos-1 -1/2

(C)  cos-1 -1/4

(D)  cos-1 1/4

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Resultant of Vectors
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If the angle between vector a and b is an acute angle, then the difference a-b is -

(A)  the main diagonal of the parallelogram

(B)  the minor diagonal of the parallelogram

(C)  any of the above

(D)  none of the above

Concept Questions :-

Resultant of Vectors
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