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Find the vector that Should added to the resultant of \( 2 \hat{i}-5 j^{n}+3 k^{n} \) and \( 4 i^{n}-7 j^{n}+4 k^{n} \) To given a unit vector along \( x-a \times 15 \). |
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Answer» \(\hat i\) is unit vector along x-axis Let \(x\hat i + y\hat j + z\hat k\) is required vector. \(\therefore (2\hat i- 5\hat j + 3\hat k)+ (4\hat i - 7\hat j + 4\hat k)+ (x\hat i + y\hat j + z\hat k) = \hat i\) ⇒ \(x\hat i + y\hat j + z\hat k = \hat i - (6\hat i - 12\hat j - 7\hat k)\) \(= -5\hat i + 12\hat j-7\hat k\) Hence, required vector is \(-5\hat i + 12\hat j - 7\hat k.\) |
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