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

(A)  $\mathrm{R}$

(B)  $\sqrt{2}\mathrm{R}$

(C)  $3\mathrm{R}$

(D)  $\left(1+\sqrt{2}\right)\mathrm{R}$

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)  $20\sqrt{2}$ m/s north-west

(C)  40 m/s south-west

(D)  $20\sqrt{2}$ 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 $\left(\angle \mathrm{AOB}=40°\right)$ is -

(A)

(B)

(C)

(D)

Concept Questions :-

Resultant of Vectors
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If $\stackrel{\to }{A}=\stackrel{\to }{B}+\stackrel{\to }{C}$ and magnitudes of A, B and C are 5, 4 and 3 units respectively, the angle between A and C is -

(A)

(B)

(C)

(D)  $\mathrm{\pi }/2$

Concept Questions :-

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

1.

2.

3.

4.

Concept Questions :-

Resultant of Vectors
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Two forces, ${\mathrm{F}}_{1}$ and ${\mathrm{F}}_{2}$ 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)

(B)

(C)

(D)

Concept Questions :-

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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What displacement must be added to the displacement   to give a displacement of  pointing in the x-direction?

(A)

(B)

(C)

(D)

Concept Questions :-

Resultant of Vectors
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The value of unit vector in the direction of vector , is -

(A)  $\stackrel{^}{\mathrm{i}}$

(B)  $\stackrel{^}{\mathrm{j}}$

(C)  $\left(\stackrel{^}{\mathrm{i}}+\stackrel{^}{\mathrm{j}}\right)/13$

(D)

Concept Questions :-

Resultant of Vectors
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A child pulls a box with a force of  at an angle of $60°$above the horizontal. Then the horizontal and vertical components of the force are -

(A)  100 N, 175 N

(B)  86.6 N, 100 N

(C)  100 N, 86.6 N

(D)  100 N, 0 N

Concept Questions :-

Resolution of vectors
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Difficulty Level: