If \(\theta\) is the angle between two vectors a and b, and |a×b|=a.b, then \(\theta\) is equal to:
1. \(0^\circ\)
2. \(180^\circ\)
3. \(135^\circ\)
4. \(45^\circ\)

Subtopic:  Vector Product |
 75%
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The vector \(\overrightarrow b\) which is collinear with the vector \(\overrightarrow a = \left(2, 1, -1\right)\) and satisfies the condition \(\overrightarrow a. \overrightarrow b=3\) is:
1. \(\left(1, \frac{1}{2}, \frac{-1}{2}\right)\)
2. \(\left(\frac{2}{3}, \frac{1}{3}, \frac{-1}{3}\right)\)
3. \(\left(\frac{1}{2}, \frac{1}{4}, \frac{-1}{4}\right)\)
4. \(\left(1, 1, 0\right)\)

Subtopic:  Scalar Product |
 54%
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If a, b and c are three non-zero vectors such that a+b+c=0, then the value of a.b+b.c+c.a will be:

1. Less than zero 2. equal to zero
3. greater than zero 4. 3
Subtopic:  Scalar Product |
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Two vectors a and b inclined at an angle θ with respect to each other have a resultant c which makes an angle β with a. If the directions of a and b are interchanged, then the resultant will have the same

(A)  magnitude

(B)  direction

(C)  magnitude as well as direction

(D)  neither magnitude nor direction

Subtopic:  Resultant of Vectors |
 69%
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Two vectors A and B lie in a plane. Another vector C lies outside this plane. The resultant A+B+C of these three vectors

(1)  can be zero

(2)  cannot be zero

(3)  lies in the plane of A &B

(4)  lies in the plane of A & A+B

Subtopic:  Resultant of Vectors |
 64%
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The vector sum of the forces of 10 N and 6 N can be

(1)  2 N

(2)  8 N

(3)  18 N

(4)  20 N

Subtopic:  Resultant of Vectors |
 85%
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A set of vectors taken in a given order gives a closed polygon. Then the resultant of these vectors is a 

(1)  scalar quantity

(2)  pseudovector

(3)  unit vector

(4)  null vector

Subtopic:  Resultant of Vectors |
 72%
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The vector sum of two vectors P and Q is minimum when the angle θ between their positive directions, is

(A)  π4

(B)  π3

(C)  π2

(D)  π

Subtopic:  Resultant of Vectors |
 69%
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If the vector sum of two vectors A and B is maximum, then the angle θ between two vectors will be:

1.  0°

2.  30°

3.  45°

4.  60°

Subtopic:  Resultant of Vectors |
 84%
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If \(\overrightarrow P +\overrightarrow Q\) = \(\overrightarrow P-\overrightarrow Q\) and \(\theta\) is the angle between \(\overrightarrow {P}\) and \(\overrightarrow {Q}\), then:
1. \(\theta = 0^{\circ}\)
2. \(\theta = 90^{\circ}\)
3. \(P=0\)
4. \(Q=0\)

Subtopic:  Resultant of Vectors |
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