The value of unit vector in the direction of vector A=5 i^-12 j^, is -

1. i^

2. j^

3. i^+j^/13

4. 5i^-12j^/13

Subtopic:  Resultant of Vectors |
 86%
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A child pulls a box with a force of 200 N at an angle of 60°above the horizontal. Then the horizontal and vertical components of the force will be:
              

1. 100 N, 175 N

2.  86.6 N, 100 N  

3.  100 N, 86.6 N

4. 100 N, 0 N

Subtopic:  Resolution of Vectors |
 69%
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A man rows a boat at a speed of 18 km/hr in the northwest direction. The shoreline makes an angle of 15° south of west. The component of the velocity of the boat along the shoreline is:

1.  9 km/hr

2.  1832 km/hr

3.  18 cos 15° km/hr

4.  18 cos 75° km/hr

Subtopic:  Resolution of Vectors |
From NCERT
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A bird moves from point (1, -2) to (4, 2). If the speed of the bird is 10 m/sec, then the velocity vector of the bird is:

1. 5i^-2j^

2. 54i^+2j^

3. 0.6i^+0.8j^

4. 6i^+8j^

Subtopic:  Resultant of Vectors |
 54%
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If the angle between the unit vectors a^ and b^ is 60°, then |a^-b^| is :

(1)  0

(2)  1

(3)  2

(4)  4

Subtopic:  Resultant of Vectors |
 67%
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For the figure -

    

1.  A+B=C

2.  B+C=A

3.  C+A=B

4.  A+B+C=0

Subtopic:  Resultant of Vectors |
 69%
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Two constant forces F1=2i^-3j^+3k^ N and F2=i^+j^-2k^ N act on a body and displace it from the position r1=i^+2j^-2k^ m to the position r2=7i^+10j^+5k^ m. What is the work done W? [Given : W =F.r]

(A)  9 Joule

(B)  41 Joule

(C)  -3 Joule

(D)  None of these

Subtopic:  Scalar Product |
 61%
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The angle that the vector A=2i^+3j^ makes with the y-axis is:

(1)  tan-1 3/2

(2)  tan-1 2/3

(3)  sin-1 2/3

(4)  cos-1 3/2

Subtopic:  Resultant of Vectors | Scalar Product |
 61%
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A vector A points, vertically upward and, B points towards north. The vector product A×B is -

1.  along west

2.  along east

3.  zero

4.  vertically downward

Subtopic:  Vector Product |
 57%
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The linear velocity of a rotating body is given by v=ω×r, where ω is the angular velocity and r is the radius vector. The angular velocity of a body, ω=i^-2j^+2k^ and their radius vector is  r=4j^-3k^, then value of |v| will be:

1.  29 units

2.  31 units

3.  37 units

4.  41 units

Subtopic:  Vector Product |
 76%
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