Question:medium
Let \(\vec{a} = 2\hat{i} + 2\hat{j} - 5\hat{k}\) and \(\vec{b} = 2\hat{i} + \hat{j} + \alpha\hat{k}\). If \(|\vec{a} + \vec{b}| = \sqrt{29}\). Then the possible values of \(\alpha\) are
Let \(\vec{a} = 2\hat{i} + 2\hat{j} - 5\hat{k}\) and \(\vec{b} = 2\hat{i} + \hat{j} + \alpha\hat{k}\). If \(|\vec{a} + \vec{b}| = \sqrt{29}\). Then the possible values of \(\alpha\) are
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When you have a squared term like \((x-c)^2 = k\), always consider both the positive and negative roots. This usually leads to two possible solutions in vector coordinate problems.
Updated On: Jun 24, 2026
- \(\pm 2\)
- \(\pm 3\)
- 3, 7
- \(\pm 5\)
- -3, -7
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The Correct Option is C
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