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JEE Main 2022 · 28 Jul · Shift 1, Physics question 51

If the projection of 2i^+4j^−2k^2\hat i+4\hat j-2\hat k on i^+2j^+αk^\hat i+2\hat j+\alpha\hat k is zero. Then, the value of α\alpha will be ______.

Answer and worked solution

Official answer: 5

Zero projection means a zero dot product: 2+8−2α=02+8-2\alpha=0, so α=5\alpha=5.

Answer: 5

Topics:Vectors
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