EASY
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A and B are two non-zero vectors inclined at an angle θa^ and b^ are unit vectors along A and B respectively. The component of A in the direction of B is

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Important Questions on Mathematical Methods

EASY
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IMPORTANT
The unit vector ai^+bj^ is perpendicular to i^+j^. The value of b can be:
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IMPORTANT
If A=3i^-2j^+k^, B=i^-3ȷ^+5k^ and C=2i^+j^-4k^ form a right angled triangle then out of the following which one is satisfied?
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Figure shows three forces F1,F2 and F3 acting along the sides of an equilateral triangle. If the total torque acting at point O (centre of the triangle) is zero then the magnitude of F3 is

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MEDIUM
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Resultant of two vectors P and Q is of magnitude R1. If direction of Q is reversed, the resultant is of magnitude R2. The value of R12+R22 is cosπ-θ=-cosθ
EASY
MHT-CET
IMPORTANT
A and B are two non-zero vectors inclined at an angle θa^ and b^ are unit vectors along A and B respectively. The component of A in the direction of B is