JEE Main · Prototype 1.1
Project one vector onto another
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Question 1.1
A = 2i + 3j − k and B = i − j + 2k. What is the vector projection of A on B?
Visual explanationSee why the answer works⌄
projBA = (A · B / |B|²)B
A · B = 2 − 3 − 2 = −3 and |B|² = 1 + 1 + 4 = 6. Therefore projᴮA = (−3/6)B = −½i + ½j − k.