Question

Solve pls.
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Answer 1

Answer: 23

Explanation:

( Bold a b c means they are vectors)

By saying a + b + c = 0 we mean the vector sum of any two vectors is at 180° with the third vector.

To suffice the given magnitudes into the equation given, I would have to set,

b + c = -a.

You can verify this result by Triangle law of Vector addition.

For this we shall have to assume these three vectors lie on the three axes of the 3-D Cartesian plane. You may take anyone on the axes, like in any fashion. It must suffice the equation b + c = -a.

That's it! So, a = -5; b = 4 and c = 3.

The above Ted-Talk is just to explain that I had to find the signs of the Vectors, of the magnitudes given!

So, for | a.b + b.c + c.a | = | (-5)*4 + 4*3 + (-5)*3 | = |-23| = 23!

Kudos!