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Angle made by vector sqrt(3)hat(i)+sqrt(...

Angle made by vector `sqrt(3)hat(i)+sqrt(2)hat(j)-2hat(k)` with `-ve y-` axis is `:`

A

`cos^(-1)((sqrt(2))/(3))`

B

`cos^(-1)(-(sqrt(2))/(3))`

C

`pi-cos^(-1)((sqrt(2))/(3))`

D

`pi-cos^(-1)(-(sqrt(2))/(3))`

Text Solution

Verified by Experts

The correct Answer is:
B, C
`cos theta=((sqrt(3)hat(i)+sqrt(2)hat(j)-2hat(k))(-hat(j)))/(sqrt(3+2+4(1)))=(-sqrt(2))/(3)`
`theta=cos^(-1)((-sqrt(2))/(3))or pi-cos^(-1)((sqrt(2))/(3))`
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