Question

If A= 4i , B = -4j then angle of A+B with x-axis is equal to;​

Answer 1

Explanation:

A+B = 4i - 4j

Let the angle it subtends on the x-axis be 'x' .

Tan x = y/x = -4/4 = -1 = Tan(-45°)

=> x = -45°

Therefore,

it subtends an angle of -45°.

Answer 2

Answer:

It subtends an angle of $-45$ degrees with $x$ axis.

Explanation:

It is given that $A= 4i$ and $B = -4j$

We need to determine the angle of $A+B$ with $x$ axis.

Now,

Adding $A+B$ gives $A+B=4i-4j$

As we know that the angle is determined by

$tanx=\frac{y}{x}$

Putting values

$tanx=\frac{-4}{4} =-1$

It implies $x=-45$ degrees. It lies in fourth quadrant.

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