Question

Find their resultant.
A= 3 units due south B = 4 units due 30°N of E.
Find (a) vectorA - vectorB
(b) vectorB-vectorA​

Answer 1

Answer:

see the photo, hope it will help

Answer 2

The answers are $\bf A-B= -2\sqrt{3} i - 5j$ and $\bf A-B= -2\sqrt{3} i - 5j$.

Given:

A = 3 units due south

B = 4 units due 30°N of E.

To Find:

(a) vectorA - vectorB

(b) vectorB-vectorA​

Solution:

Let us assume a coordinate axis such that North is the y-axis and East is the x-axis.

Hence A = -3 j

B = 4cos30 i + 4sin30 j

Therefore A - B gives

$\bf A-B= -2\sqrt{3} i - 5j$

Therefore B-A gives

$\bf B-A=2\sqrt{3}i+5j$.

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