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Question

If ¯¯¯x,¯¯¯y,¯¯¯z are mutually perpendicular unit vectors and a^x+a^y+c^z, c^x+c^y+b^z are coplanar, then

A
a,b,c are in A.P
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B
a,b,c are in G.P
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C
a,b,c are in H.P
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D
a,c,b are in G.P
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Solution

The correct option is D a,c,b are in G.P
As x,y,z are mutually perpendicular, hence they are linearly independent, hence ratio of coefficients linking them are equal.
ac=ac=cb
ac=cb
c2=ab
a,c,b are in G.P
(D).

1131051_1208144_ans_613e1dc9adfe44afa496d6b4b26d4564.jpg

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