The magnitude of a vector r = 3 i + 6 + 2k:
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The required vector r=t(a+b),t is a scalar
⇒r=t[91(7i−4j−4k)+31(−2i−j+2k)]
=9t(i−7j+2k)
Since r=36⇒∣r∣2=54
⇒81t2(1+49+4)=54⇒t2=81⇒t=±9
Hence, r=±(i−7j+2k)
Explanation:
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[r]=√3^2+6^2+2^2
=√9+36+4
=√49
=7.
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