The projection of vector A <em>parallel</em> to vector B is and the projection of vector A <em>perpendicular</em> to vector B is .
In this question, we need to determine all projections of a vector with respect to another vector. In this case, the projection of vector A <em>parallel</em> to vector B is defined by this formula:
(1)
Where is the norm of vector B.
And the projection of vector A <em>perpendicular</em> to vector B is:
(2)
If we know that and , then the projections are now calculated:
The projection of vector A <em>parallel</em> to vector B is and the projection of vector A <em>perpendicular</em> to vector B is .
We kindly invite to check this question on projection of vectors: brainly.com/question/24160729