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Vector Algebra question

2021 · 26 Aug · Shift 2 · Q41
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  5. /2021 · 26 Aug · Shift 2 · Q41

Vector Algebra question

2021 · 26 Aug · Shift 2 · Q41

JEE MainMathematicsVector AlgebraNumerical+4 / −1
If the projection of the vector i^+2j^+k^\widehat i + 2\widehat j + \widehat ki+2j​+k on the sum of the two vectors 2i^+4j^−5k^2\widehat i + 4\widehat j - 5\widehat k2i+4j​−5k and −λi^+2j^+3k^- \lambda \widehat i + 2\widehat j + 3\widehat k−λi+2j​+3k is 1, then λ\lambdaλ is equal to ‾\underline{\hspace{2cm}}​.
Numerical answer
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