InterviewSolution
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InterviewSolution
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Let `a, b and c` be distinct non-negative numbers. If vectos `a hati +a hatj +chatk, hati + hatk and chati +chatj+bhatk` are coplanar, then c isA. the arithmetic mean of a and bB. the geometric mean of a and bC. the harmonic mean of a and bD. equal to zero |
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Answer» Correct Answer - B a, b and c are distinct negative negative numbers and vectors `a hati + a hatj + chatk, hati +hatk and chati +c hatj +bhatk ` are coplanare `" "|{:(a,,a,,c), (1,,0,,1),(c,,c,,b):}|=0` or `ac+ c^(2) -ab -ac =0` or `c^(2) = ab` Hence, `a, c, b` are in G.P. So c is the G.M. of a and b. |
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