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If bar(P) = 2i + 4j + 14k and bar(Q) =...

If `bar(P) = 2i + 4j + 14k ` and `bar(Q) = 4i + 4j + 10k,` find the magnitude of `bar(P) + bar(Q)` .

Text Solution

Verified by Experts

Given `bar(P) = 2 bar(i) + 4 bar(j) + 14 bar(k)` and
`bar(Q) = 4 bar(i) + 4 bar(j) + 10 bar(k)`
`bar(P) + bar(Q) = 6 bar(i) + 8 bar(j) = 24 bar(k)`
Magnitude of `|bar(P) + bar(Q)| = sqrt(6^(2) + 8^(2) + 24^(2))`
`= sqrt(36 + 64 + 576) = sqrt(676) = 26 ` units .
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