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A line in the 3 dimensiional space makes...

A line in the 3 dimensiional space makes an angle `theta` `(0<=theta<=pi/2)` both with x-axis and y-axis. A possible range of `theta` is

A

`[0, pi/4]`

B

`[0,pi/2]`

C

`[pi/4,pi/2]`

D

`[pi/6,pi/3]`

Text Solution

Verified by Experts

The correct Answer is:
C
`cos^(2)theta+cos^(2)theta+cos^(2)lambda=1`
`rArr cos^(2)thetalambda=-cos2theta`
`rArr cos2theta le0 rArr in [pi/4, pi/2]`
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CENGAGE-VECTORS; DEFINITION, GEOMETRY RELATED TO VECTORS-DPP 1.1
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