Question

if vector A =3i^4j^ and vector B=i^j^ Find out projectionof vector A along B in scalar form​

Answer 1

Answer:

We have been given two vectors →aand→b , we are to find out the scalar and vector projection of →b onto →a

we have →a=ˆi+ˆj+ˆk and →b=ˆi−ˆj+ˆk

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The scalar projection of →b onto →a means the magnitude of resolved component of →b inthe direction of →a and is given by

The scalar projection of →b onto →a =→b⋅→a∣∣→a∣∣

=(ˆi+ˆj+ˆk)⋅(ˆi−ˆj+ˆk)√12+11+12

=12−12+12√3=1√3

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The Vector projection of →b onto →