63.2k views
2 votes
The scalar product can be described as the magnitude of B times the component of A that is parallel to B. In terms of the positive scalar quantities a, b, and d, what is the component of A that is parallel to B? Suppose that c = 0.

User Tjbp
by
5.9k points

2 Answers

1 vote

Final answer:

The component of A that is parallel to B can be found using the equation A_parallel to B = (A.B)/|B|. Therefore, the component of A parallel to B is A_parallel to B = Scalar product / |B|

Step-by-step explanation:

The component of A that is parallel to B can be found using the equation:

Aparallel to B = (A.B)/|B|

where A.B is the dot product of vectors A and B and |B| is the magnitude of vector B.

Since the scalar product is equal to the magnitude of B times the component of A parallel to B, we can rewrite the equation as:

Scalar product = |B| * Aparallel to B

Therefore, the component of A parallel to B is:

Aparallel to B = Scalar product / |B|

User Kevin Vasko
by
4.4k points
5 votes

Answer:

See it in the pic.

Step-by-step explanation:

See it in the pic.

The scalar product can be described as the magnitude of B times the component of A-example-1
User Rotsen
by
5.4k points