Question:
A student tries to tie ropes, parallel to each other from one end of the wall to the other. If one rope is along the vector \( \hat{i} + 15 \hat{j} + 6 \hat{k} \) and the other is along the vector \( 2 \hat{i} + 10 \hat{j} + 6 \hat{k} \), then the value of \( \lambda \) is :
A student tries to tie ropes, parallel to each other from one end of the wall to the other. If one rope is along the vector \( \hat{i} + 15 \hat{j} + 6 \hat{k} \) and the other is along the vector \( 2 \hat{i} + 10 \hat{j} + 6 \hat{k} \), then the value of \( \lambda \) is :
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Cross-products can be used to find the area of parallelograms formed by two vectors.
Updated On: Jun 25, 2025
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The Correct Option is C
Solution and Explanation
To find the value of \( \lambda \), you need to compute the cross-product of the two vectors and then normalize. The cross-product of the two vectors is computed by the determinant method. The magnitude of the cross-product gives the required value of \( \lambda \).
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