Question
If →a ′=^i+^j,→b ′=^i+^j+2^k and →c ′=2^i+^j−^k. Then altitude of the parallelopiped formed by the vectors →a,→b,→c having base formed by →b and →c is (→a,→b,→c and →a′,→b′,→c′ are reciprocal system of vectors)
Answer: Option D
:
D
Volume of the parallelepiped formed by →a′,→b′,→c′ is 4
∴ Volume of the parallelepiped formed by→a,→b,→c is 14
→b×→c=14→a′∴∣∣→b×→c∣∣=√24=12√2
∴ length of altitude = 14×2√2=1√2.
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D
Volume of the parallelepiped formed by →a′,→b′,→c′ is 4
∴ Volume of the parallelepiped formed by→a,→b,→c is 14
→b×→c=14→a′∴∣∣→b×→c∣∣=√24=12√2
∴ length of altitude = 14×2√2=1√2.
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