Component of 3i^+4j^ perpendicular to i^+j^ and in the same plane as that of 3i^+4j^ is:

(1) 12(j^-i^)

(2) 32(j^-i^)

(3) 52(j^-i^)

(4) 72(j^-i^)

Concept Questions :-

Resolution of vectors
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Given that C = A + B  and   C makes an angle α with A and β with B. Which of the following options is correct?

1.  α cannot be less then β

2.  α <β, if A<B

3.  α <β, if A>B

4.  α <β, if A=B

Concept Questions :-

Resultant of Vectors
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If the angle between the vector A and B is  θ, the value of the product B×A.A is equal to:

1. BA2 cosθ

2. BA2 sinθ

3. BA2 sinθcosθ

4. zero

Concept Questions :-

Vector Product
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Two forces A and B have a resultant R1. If B is doubled, the new resultant R2 is perpendicular to A. Then

(1) R1=A

(2) R1=B

(3) R2=A

(4) R2=B

Concept Questions :-

Resultant of Vectors
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Two forces are such that the sum of their magnitudes is 18 N and their resultant is perpendicular to the smaller force and magnitude of resultant is 12 N. Then the magnitudes of the forces are 

1. 12 N, 6 N

2. 13 N, 5N

3. 10 N, 8 N

4. 16 N, 2 N

Concept Questions :-

Resultant of Vectors
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If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is

1. 90°

2. 45° 

3. 180° 

4. 0°

Concept Questions :-

Resultant of Vectors
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Six vectors a through f have the directions indicated in the figure. Which of the following statements may be true?

(a) b+c=-f                        (b) d+c=f

(c) d+e=f                        (d) b+e=f

Concept Questions :-

Resultant of Vectors
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In the given figure

                           

(A)  Angle between A and B is 110°

(B)  Angle between C and D is 60°

(C)  Angle between B and C is 110°

(D)  Angle between B and C is 70°

Concept Questions :-

Resultant of Vectors
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A force of 6 N and another of 8 N can be applied together to produce the effect of a single force of -

(A)  1 N

(B)  11 N

(C)  15 N

(D)  20 N

Concept Questions :-

Resultant of Vectors
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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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