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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If |u1+u2|=|u1-u2| and |u2| is finite then

1. u1 is parallel to u2

2. u1=u2

3. |u1|=|u2|

4. u1 and u2 are mutually perpendicular

Concept Questions :-

Scalar Product
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A body is moving under the action of two forces F1=2i^-5j^ , F2=3i^-4j^. Its velocity will become uniform under an additional third force F3, given by :

1. 5i^-j^

2. -5i^-j^

3. 5i^+j^

4. -5i^+9j^

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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If a vector 2i^+3j^+8k^ is perpendicular to the vector 4j^-4i^+αk^, then the value of α

1.  -1

2.  -12

3.  12

4.  1

Concept Questions :-

Scalar Product
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