What is the angle between Vector A and the resultant of (A+B cap) and (A-Bcap)
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Answer is : 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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