GATE ME 2022 Set 1 — Question 48
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Engineering Mathematics → Vector Calculus → Vector Identities
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Question
Consider two vectors:Magnitude of the component of orthogonal to in the plane containing the vectors and is __________ (round off to 2 decimal places).
Correct answer
7.9 to 8.7
Solution
The magnitude of the component of vector orthogonal to vector is given by the formula:First, calculate the cross product :Now, find the magnitude of the cross product:Next, find the magnitude of vector :Finally, calculate the magnitude of the orthogonal component:Rounding off to two decimal places, we get 8.32.
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