Question

If A = 3i – 4j and B = -i - 4j, calculate the direction of A+B
1) tan (4) with positive X- axis in clock wise
2) tan'(4) with negative X- axis in clock wise
B) tan'(4) with positive X- axis in anti clock wise
4) tan-'(4) with negative X- axis in anti clock wise​

Answer 1

Answer:

2i-8j

Step-by-step explanation:

A=3i-4j

B =-i-4j

A+B=3i-4j+(-i-4j)

=3i-4j-i-4j

=2j-8j

Answer 2

Answer:

3) tan'(4) with positive x-axis in anti-clock wise direction.

Step-by-step explanation:

Given:- A = 3i - 4j and B = -i -4j

To Find:- Direction of A + B

Solution:-

A = 3i - 4j and B = -i -4j

A + B = 3i - 4j + (-i - 4j)

         = 3i - 4j -i -4j

         = 2i - 8j

∴ Direction of A + B is along positive x-axis.

Now, tan x = $\frac{-8}{2}$ = -4

∴ x = $tan^{-1} ( -4 )$ = $-tan^{-1} ( 4 )$

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