Question:medium
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 :
Show Hint
Cross-products can be used to find the area of parallelograms formed by two vectors.
Updated On: Jan 14, 2026
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The Correct Option is C
Solution and Explanation
To determine \( \lambda \), calculate the normalized cross-product of the two vectors. The cross-product is found using the determinant method. The magnitude of this cross-product is the value of \( \lambda \).
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