First slide

Vectors

Question

The component of a vector is

Moderate

A

always less than its magnitude
B

always greater than its magnitude
C

always equal to its magnitude
D

less than or equal to its magnitude

Solution

Component of a vector $\vec{P}$
along the AB is Pcosθ and magnitude of the component perpendicular to the line AB = p sinθ . Since Sinθ ≤ 1 and cosθ ≤ 1 , magnitude of component of a vector ≤ magnitude of the vector.

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