Question

If the direction of point A-5 and the direction of point B is 3 then d (A,B)= how much? ​

Answer 1

Answer:

direction of d(A,B)=d(5,3)

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Answer 2

Therefore the magnitude of the point ( A, B ) is 4 units and the direction changes according to the case stated in the solution.

Given:

The direction of point A = 5 units

The direction of point B = 3 units

To Find:

The Direction of point ( A, B ) and its magnitude.

Solution:

The given question can be solved by using this simple approach where 4 cases are to be possible.

In every case, the magnitude is the same: √ 5² + 3² = 4 units from the origin.

Case 1:

If Point A is in the North direction and point B is in the East direction then the direction of the point ( A, B ) will be in the North-East direction with 4 units from the origin.

Case 2:

If Point A is in the North direction and point B is in the West direction then the direction of the point ( A, B ) will be in the North-West direction with 4 units from the origin.

Case 3:

If Point A is in the South direction and point B is in the East direction then the direction of the point ( A, B ) will be in the South-East direction with 4 units from the origin.

Case 4:

If Point A is in the South direction and point B is in the West direction then the direction of the point ( A, B ) will be in the South-West direction with 4 units from the origin.

NOTE: The direction doesn't change in each case if the direction of points A and B are interchanged.

Therefore the magnitude of the point ( A, B ) is 4 units and the direction changes according to the case stated in the solution.

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