Question:
Let \(\vec{a}=6\hat{i} +9\hat{j}+12\hat{k}, \vec{b} = a\hat{i} +11\hat{j}-2\hat{k}\) and \(\vec{c}\) be vectors such that \(\vec{a}\times\vec{c}=\vec{a}\times\vec{b}\).
If \(\vec{a}.\vec{c}=12,\vec{c}.(\hat{i}-2\hat{j}+\hat{k})=5,\), then \(\vec{c}.(\hat{i}+\hat{j}+\hat{k})\) is equal to__________.
Let \(\vec{a}=6\hat{i} +9\hat{j}+12\hat{k}, \vec{b} = a\hat{i} +11\hat{j}-2\hat{k}\) and \(\vec{c}\) be vectors such that \(\vec{a}\times\vec{c}=\vec{a}\times\vec{b}\).
If \(\vec{a}.\vec{c}=12,\vec{c}.(\hat{i}-2\hat{j}+\hat{k})=5,\), then \(\vec{c}.(\hat{i}+\hat{j}+\hat{k})\) is equal to__________.
If \(\vec{a}.\vec{c}=12,\vec{c}.(\hat{i}-2\hat{j}+\hat{k})=5,\), then \(\vec{c}.(\hat{i}+\hat{j}+\hat{k})\) is equal to__________.
Updated On: Dec 7, 2024
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Correct Answer: 11
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The answer is:11
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