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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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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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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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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A particle moves from position null to (11i^+11j^+15k^) due to a uniform force of (4i^+j^+3k^)N. If the displacement is in m, then the work done will be: (Given: \(W=\vec{F}.\vec{S}\))

1. 100 J

2. 200 J

3. 300 J

4. 250 J

Subtopic:  Scalar Product |
 88%
From NCERT
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If for two vectors A and BA×B=0, then the vectors:

1. are perpendicular to each other.

2. are parallel to each other.

3. act at an angle of 60°.

4. act at an angle of 30°.

Subtopic:  Vector Product |
 77%
From NCERT
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The angle between vectors A×B and B×A is

1. Zero

2. π

3. π/4

4. π/2

Subtopic:  Vector Product |
 70%
From NCERT
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The dot product of two mutual perpendicular vector is:

1. 0

2. 1

3. 

4. None of the above

Subtopic:  Scalar Product |
 88%
From NCERT
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Let θ be the angle between vectors A and B. Which of the following figures correctly represents the angle θ?
1.  Let theta be the angle between vectors vec A and vec B . Which of the  following figures correctly represents the angle theta ?

2. 

3.  

4.  Let theta be the angle between vectors vec A and vec B . Which of the following  figures correctly represents the angle theta ?

Subtopic:  Resultant of Vectors |
 67%
From NCERT
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If the sum of two unit vectors is also a unit vector, then the magnitude of their difference and angle between the two given unit vectors is

1. 3, 60°

2. 3, 120°

3. 2, 60°

4. 2, 120°

Subtopic:  Resultant of Vectors |
 61%
From NCERT
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