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Question

If OP=^i+4^j3^k and OQ=2^i2^j^k then find the modulus of PQ.

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Solution

Given: OP=^i+4^j3^k and OQ=2^i2^j^k
Find the modulus of PQ
PQ=OQPO
=2^i2^j^k(^i+4^j3^k)
=2^i2^j^k^i4^j+3^k
PQ=^i6^j+2^k
Modulus=|PQ|=|^i6^j+2^k|
=(1)2(6)2+22
=1+36+4
=41.

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