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Question

# If non-zero vectors â†’a and â†’b are equally inclined to coplanar vector â†’c, then â†’c can be

A
aa+2ba+ba+bb
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B
|b||a|+|b|a+|a||a|+|b|b
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C
|a||a|+2|b|a+|b||a|+2|b|b
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D
|b|2|a|+|b|a+a2|a|+bb
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Solution

## The correct options are B |→b||→a|+|→b|→a+|→a||→a|+|→b|→b C |→b|2|→a|+|→b|→a+∣∣→a∣∣2|→a|+∣∣∣→b∣∣∣→bSince →a and →b are equally inclined to →c,→c must be of the form t⎛⎜⎝→a|→a|+→b|→b|⎞⎟⎠Now |→b||→a|+|→b|→a+|→a||→a|+|→b|→b=|→a||→b||→a|+→b⎛⎜⎝→a|→a|+→b|→a|+|→b|⎞⎟⎠Also, |→b|2|→a|+|→b|→a+|→a|2|→a|+|→b|→b=|→a|+|→b|2|→a|+→b⎛⎜⎝→a|→a|+→b|→b|⎞⎟⎠Other two vectors cannot be written in the form t⎛⎜⎝→a|→a|+→b|→b|⎞⎟⎠

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