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Maths-

General

Easy

Question

If a, b, c are mutually perpendicular unit vectors, then $vertical line a plus b plus c vertical line equals$

$\sqrt{3}$
3
1
0

The correct answer is: $square root of 3$

Three mutually perpendicular unit vectors $equals a$ , $b$ and $c$ .
Therefore $vertical line a vertical line equals vertical line b vertical line equals vertical line c vertical line equals 1$ and $a. b equals b. c equals c. a equals 0$ .
We know that
$vertical line a plus b plus c vertical line to the power of 2 end exponent equals left parenthesis a plus b plus c right parenthesis. left parenthesis a plus b plus c right parenthesis equals vertical line a vertical line to the power of 2 end exponent plus vertical line b vertical line to the power of 2 end exponent$
$plus vertical line c vertical line to the power of 2 end exponent plus 2 left parenthesis a. b plus b. c plus c. a right parenthesis equals 1 plus 1 plus 1 plus 0 equals 3$
or $vertical line a plus b plus c vertical line equals square root of 3.$

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