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  • If points P(4, 5, x), Q(3, y, 4) and R(5,8,0) are collinear, then the value of x + y .?

If points P(4, 5, x), Q(3, y, 4) and R(5,8,0) are collinear, then the value of x + y .?

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best_answer

overrightarrowPR=(5-4)widehati+(8-5)widehatj+(0-x)widehatk

overrightarrowPR=widehati+3widehatj-xwidehatk

overrightarrowQR=(5-3)widehati+(8-y)widehatj+(0-4)widehatk

overrightarrowQR=2widehati+(8-y)widehatj-4widehatk

Since, points P,Q and R are co-linear points, hence 

frac12=frac38-y=frac-x-4

On Solving, we get:

x=2,y=2

So, x+y=4

Posted by

Deependra Verma

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