The resultant vector of makes angle with and with .Then-
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The figure shows ABCDEF as a regular hexagon. What is the value of ?
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A vector , which has magnitude 8.0 is added to a vector which lies on the x-axis. The sum of these two vectors lies on the y-axis and has a magnitude twice the magnitude of . The magnitude of the vector
1. 8
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If and , then the unit vector in the direction of is
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The forces are acting perpendicular to each other at a point and have resultant R. If force is replaced by acting in the direction opposite to that of , the magnitude of resultant
(1) Becomes half
(2) Becomes double
(3) Becomes one third
(4) Remains the same
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 |
If are two vectors inclined to each other at an angle , then the component of perpendicular to and lying in the plane containing will be:
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If and = , then
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3. is antiparallel to
4. is inclined to at an angle of 45
If is the resultant of two vectors and ' is the difference in them, and , then:
(1)
(2)
(3) is antiparallel to
(4) makes an angle of 120° with
Two forces of the same magnitude are acting on a body in the East and North directions, respectively. If the body remains in equilibrium, then the third force should be applied in the direction of:
1. North-East
2. North-West
3. South-West
4. South-East