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%
From NCERT
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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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Consider east as positive x-axis, north as positive y-axis and vertically upward direction as z-axis. A helicopter first rises up to an altitude of 100 m than flies straight in north 500 m and then suddenly takes a turn towards east and travels 1000 m east. What is position vector of helicopter. (Take starting point as origin)

(1)  1000 i^-500 j^+100 k^

(2)  1000 i^+500 j^-100 k^

(3)  1000 i^+500 j^+100 k^

(4)  -1000 i^+500 j^+100 k^

Subtopic:  Resolution of Vectors |
 76%
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If rain falls vertically with a velocity Vr wrt wind and wind blows with a velocity Vw from east to west, then a person standing on the roadside should hold the umbrella in the direction

1. tan θ = VwVr

2. tan θ = VrVw

3. tan θ = VrwVr2 + Vw2

4. tan θ = VrVr2 + Vw2

Subtopic:  Resolution of Vectors |
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The component of vector A=axi^+ayj^+azk^ along the direction of i^-j^ is

(1) ax-ay+az

(2) ax-ay

(3) (ax-ay)/2

(4) (ax+ay+az)

Subtopic:  Resolution of Vectors |
 61%
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A force is 60 ° inclined to the horizontal. If its rectangular component in the horizontal direction is 50 N, then the magnitude of the force in the vertical direction is

1. 25 N

2. 75 N

3. 87 N

4. 100 N

Subtopic:  Resolution of Vectors |
 59%
From NCERT
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If a unit vector j^ is rotated through an angle of 45° anticlockwise, then the new vector will be:

1.  2i^ + 2j^

2.  i^ + j^

3.  12i^ + 12j^

4.  -12i^ + 12j^

Subtopic:  Resolution of Vectors |
 56%
From NCERT
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If p^ is the unit vector in the direction B, then:

1.  p^ = BB

2.  p^ = B × B

3.  p^ = BB

4.  p^ = BB

Subtopic:  Resolution of Vectors |
 83%
From NCERT
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A force of \(20\) N acts on a particle along a direction, making an angle of \(60^\circ\) with the vertical. The component of the force along the vertical direction will be:

1. \(2\) N 2. \(5\) N
3. \(10\) N 4. \(20\) N
Subtopic:  Resolution of Vectors |
 89%
From NCERT
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A force of 5N acts on a particle along a direction making an angle of 60° with vertical. Its vertical component will be:

1. 10 N

2. 3 N

3. 4 N

4. 2.5 N

Subtopic:  Resolution of Vectors |
 86%
From NCERT
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