Vector A points in the positive x direction and has a magnitude of 75m. The vector C = A + B points in the positive y direction and has a magnitude of 95m. Estimate magnitude and direction of vector B and verify with numerical calculation.

I know what the sketch is supposed to look like but I don't understand why the B vector ends up on the negative side? Help in explaining this question would be very appreciated, thank you.

### 1 Answer | Add Yours

Solve of B:

`B=C-A`

where

`C=(0,95)`

`A=(75,0)`

Subtract the corresponding components of the vectors:

`B=(0-75, 95-0)`

`B=(-75,95)`

This can be graphically explained using the parallelogram law: Arrange A and B so B starts at the end of A and draw a line from the start of A to the end of B to obtain C.

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