Any vector fans out there? Given that the vectors A + B = C and that the vector MAGNITUDES a + b = C

are vectors A and B oriented relative to each other?

What about vectors A - B = C and vectors magnitudes a - b =c? How are the vectors A and B oriented in this situation?

Any vector fans out there? Given that the vectors A + B = C and that the vector MAGNITUDES a + b = C, how...?c++ compiler

I assume you mean "and that the vector MAGNITUDES a + b = c, how..."

The triangle inequality says that:

||a|| + ||b|| >= ||a+b||

(I'm using ||a|| for magnitude of a and >= for "greater than or equal to)

This means that the sum of the lenghts of two sides of a triangle is always greater than the length of the third side because the shortest distance between two points is a straight line and you will have to make a turn to follow two sides of a triangle. The only way that ||a|| + ||b|| = ||a+b|| is if a and b don't make a triangle at all. If they form a straight line, then obviously the sum of thier lengths is the length of the whole line. This is the case in this question. So a and b point in the same direction.

If ||a|| - ||b|| = ||c||, then the vectors point in opposite directions.

Any vector fans out there? Given that the vectors A + B = C and that the vector MAGNITUDES a + b = C, how...?c++ cli

A-B = A + (-B). It will be addition of two vectors.The sense of vector B will be opposite.

The magnitudes can be found either by scale drawing or by using cosine or sine rules. Or it could be the simple pythagoras theorem depending on what angles are given.

Any vector fans out there? Given that the vectors A + B = C and that the vector MAGNITUDES a + b = C

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