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The component of a vector r along X-axis...

The component of a vector `r` along X-axis will have maximum value if

A

r is along positive Y-axis

B

r is along positive X-axis

C

r makes an angle of `45^(@)` with the X-axis

D

r is along negative Y-axis

Text Solution

Verified by Experts

The correct Answer is:
B
Let r makes an angle `theta` with positive X-axis component of r along X-axis
`r_(x) = |r| cos theta`
`(r_(x))_("maximum") = |r| (cos theta)_("maximum")`
`=|r| cos 0^(@)= |r|` (`because cos theta` is maximum for `theta= 0^(@)`)
As `theta= 0^(@)`, r is along positive X–axis.
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