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Q.

If p =(3,-1,5), q =(1,2,-3). A vector r is such that it is perpendicular to Z-axis and satisfies the conditions r.p = 9, r.q = -4, then r=

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a

(–2,3,0) 
 

b

(2,–3,0) 
 

c

(2,–3,1) 
 

d

(3,–2,4) 
 

answer is B.

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Detailed Solution

r=xi+yj+zk r.k=0  z=0 r.p=9  3x-y=9 r.q=-4  3x-y=9 6x-2y=18   x+2y=-4    7x=14x=2, y=6-9=-3  r=(2, -3, 0)

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If p =(3,-1,5), q =(1,2,-3). A vector r is such that it is perpendicular to Z-axis and satisfies the conditions r.p = 9, r.q = -4, then r=