Question

What is the magnitude of the resultant vector of a and b, shown below?

Answer 1

Note: You did not provide the the diagram you referred to but i will explain how to find the magnitude of the resultant of two vectors, you can then put your own values whenever you have them.

Answer:

For any,
`\bar{A} = (A_(x) , A_(y))`, and
`\bar{B} = (B_(x) , B_(y))`, the magnitude of the resultant will be
`\mid \bar{R} \mid= \sqrt{(A_(x) + B_(x))^(2) +( A_(y) + B_(y))^(2) }`

Explanation:

The resultant of two vectors
`\bar{A}` and
`\bar {B}` is the addition of the two vectors

I.e.
`\bar{R} = \bar{A} + \bar{B}`

If
`\bar{A} = A_(x) i + A_(y) j` and
`\bar{B} = B_(x) i + B_(y) j` , then

`\bar{R} = (A_(x) + B_(x))i +( A_(y) + B_(y))j`

The magnitude of the Resultant will then be :

`\mid \bar{R} \mid= \sqrt{(A_(x) + B_(x))^(2) +( A_(y) + B_(y))^(2) }`