Question

If A = 3 i + 2 j and B = i - 2 j + 3 k, then find the
A
magnitudes of A + B and A - B. please answer with methods
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Answer 1

Answer:

A + B = 3i + 2j + i - 2j + 3k = 4i + 3k

Magnitude = sqrt(4^2 + 3^2) = 5

A - B = 3i + 2j - i + 2j - 3k = 2i + 4j - 3k

Magnitude = sqrt(2^2 + 4^2 + 3^2) = 5.4

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Answer 2

|A|=√(3²+2²)

=√13

|B|=√(1²-2²+3²)

=√6

A±B=√13±√6