Question

What is the angle between A and the resultant of
(A+B) and (A-B) ?​

Answer 1

Answer:

90 degrees

Let vector A be a unit vector on the positive y axis, and vector B be a unit vector on the positive x axis. So, -A will be a unit vector in the negative y axis and -B will be a unit vector in negative x axis.

The resultant of A+B will be a straight line with slope of 45 degrees in the first quadrant.

And the resultant of A-B will be a straight line with a slope of -45 degrees in the second quadrant.

So, the angle between the two resultants will be 90 degrees.

the figures are shown in the attached image below:

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Answer 2

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