Practicing Success
Find |\(\vec{a}\) ×\(\vec{b}\)|, if \(\vec{a}\)= \(\hat{i}\) -3\(\hat{j}\)+ 4\(\hat{k}\) and \(\vec{b}\)= 4\(\hat{i}\) - \(\hat{j}\)+ 5\(\hat{k}\) . |
√263 √363 √163 √463 |
√363 |
We have, \(\vec{a}\)= \(\hat{i}\) -3\(\hat{j}\)+ 4\(\hat{k}\) and \(\vec{b}\)= 4\(\hat{i}\) - \(\hat{j}\)+ 5\(\hat{k}\) . \(\vec{a}\) ×\(\vec{b}\)= (-15 +4)\(\hat{i}\) -(5-16) \(\hat{j}\)+(-1+12) \(\hat{k}\) \(\vec{a}\) ×\(\vec{b}\) = (-11)\(\hat{i}\) + (11)\(\hat{j}\) + (11)\(\hat{k}\) |\(\vec{a}\) ×\(\vec{b}\)|= √(-11)2 +(11)2 +(11)2 |\(\vec{a}\) ×\(\vec{b}\)| = √363
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