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Given vecP=4hati-hatj+8hatk and vecQ=2ha...

Given `vecP=4hati-hatj+8hatk and vecQ=2hati - mhatj+4hatk , " find m if " vecP and vecQ` have the same direction.

Text Solution

Verified by Experts

Since `vecP and vecQ` have the same direction, their corresponding components must be in the same propotion, i.e.,
`P_x/Q_x =P_y/Q_y =P_z/Q_z`
`4/2 = (-1)/(-m) =8/4`
`:. M =1/2`
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