A is a vector with magnitude A, then the unit vector A^ in the direction of A is

1. AA

2. A.A

3. A×A

4. A/A

Subtopic:  Resolution of Vectors |
 80%
From NCERT
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If A=2i^+4j^-5k^, then the direction cosines of the vector are:

(direction cosines (or directional cosines) of a vector are the cosines of the angles between the vector and the three +ve coordinate axes.)

1. 245, 445 and -545

2. 145, 245 and 345

3. 445, 0 and 445

4. 345, 245 and 545

Subtopic:  Resolution of Vectors |
 88%
From NCERT
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The vector that must be added to the vector i^-3j^+2k^ and 3i^+6j^-7k^ so that the resultant vector is a unit vecotr along the y-axis is

1. 4i^+2j^+5k^

2. -4i^-2j^+5k^

3. 3i^+4j^+5k^

4. Null vector

Subtopic:  Resultant of Vectors |
 78%
From NCERT
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Surface area is:

1. Scalar

2. Vector

3. Neither scalar nor vector

4. Both scalar and vector

Subtopic:  Vector Product |
 57%
From NCERT
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A force \(\mathrm{F}\) applied at a \(30^\circ\) angle to the \(\mathrm{x }\)-axis has the following X and Y components:

1. F2, F

2. F2, 32F

3. 32F, 12F

4. F, F2

Subtopic:  Resolution of Vectors |
 79%
From NCERT
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Angular momentum is

1. A scalar

2. A polar vector

3. An axial-vector

4. None of these

Subtopic:  Vector Product |
 75%
From NCERT
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If P=Q , then which of the following is NOT correct?

1. P^=Q^

2. P=Q

3. PQ^=QP^

4. P+Q=P^+Q^

Subtopic:  Resultant of Vectors |
 71%
From NCERT
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Which of the following is a scalar quantity

1. Displacement

2. Electric field

3. Acceleration

4. Work

Subtopic:  Vector Product |
 75%
From NCERT
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There are two force vectors, one of 5N and the other of 12N. At what angle should the two vectors be added to get the resultant vector of 17N, 7N, and 13N, respectively:

1. 0°, 180° and 90°

2. 0°, 90° and 180°

3. 0°, 90° and 90°

4. 180°, 0° and 90°

Subtopic:  Resultant of Vectors |
 78%
From NCERT
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If A=4i^-3j^ and B=6i^+8j^ then magnitude and direction of A+B will be

1. 5, tan-1(3/4)

2. 55, tan-1(1/2)

3. 10, tan-1(5)

4. 25, tan-1(3/4)

Subtopic:  Resultant of Vectors |
 87%
From NCERT
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