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Q.

The two vectors A→=-2i^+3j^+yk^ and B→=i^+2j^+xk^ are perpendicular. Given x+y=0. Find x and y?

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a

x=2 and y=-1

b

x=2 and y=-2

c

x=1 and y=-2

d

x=1 and y=-1

answer is B.

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Detailed Solution

x+y=0when the vectors are perpendicular.A→.B→=AxBx+AyBy+AzBz =0A→.B→=-2+6+xy=0⇒xy=-4x-y2=x+y2-4xyx-y=±4x=2 and y=-2 or x=-2 and y=2
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