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MathematicsVectorDot Product & Its Application ( Projection etc.)Easy2 minPYQ_2023
MathematicsEasysingle choice

Leta=5i^-j^-3k^andb=i^+3j^+5k^be two vectors. Then which one of the following statements is TRUE?

Options:

Answer:
A
Solution:

Given

a=5i^-j^-3k^

So, a=52+12+32=35

b=i^+3j^+5k^

So, 52+12+32=35

So, a·b=5-3-15=-13

Now finding the projection of a on b using the formula we get,

a·bb=-1335

And projection of b on a is given by,

a·ba=-1335

Note- The original answer key was dropped by NTA in Jee mains 1st feb 2023, here we have modified the options.

Stream:JEESubject:MathematicsTopic:VectorSubtopic:Dot Product & Its Application ( Projection etc.)
2mℹ️ Source: PYQ_2023

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