If $\to A + \to B = \to C$ $vec A + vec B= vec C$ , what is the magnitude of $\to C$ $vecC$ , if $\to A$ $vecA$ and $\to B$ $vecB$ are unit vectors at right angle to each other?

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If $\to A + \to B = \to C$ $vec A + vec B= vec C$ , what is the magnitude of $\to C$ $vecC$ , if $\to A$ $vecA$ and $\to B$ $vecB$ are unit vectors at right angle to each other?

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Answer 1 · 2016-02-11T17:36:48

$∣ ∣ ∣ \to C ∣ ∣ ∣ = \sqrt{2}$ $|vec C|=sqrt 2$

Explanation:

$\to A + \to B = \to C$ $vec A + vec B= vec C$
$magnitude of C is given by:$ $"magnitude of C is given by:"$
$1^{2} + 1^{2} = {(\to C)}^{2}$ $1^2+1^2=(vec C)^2$
$∣ ∣ ∣ \to C ∣ ∣ ∣ = \sqrt{2}$ $|vec C|=sqrt 2$

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If $\to A + \to B = \to C$ $vec A + vec B= vec C$ , what is the magnitude of $\to C$ $vecC$ , if $\to A$ $vecA$ and $\to B$ $vecB$ are unit vectors at right angle to each other?

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If →A+→B=→Cvec A + vec B= vec C, what is the magnitude of →CvecC, if →AvecA and →BvecB are unit vectors at right angle to each other?

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If $\to A + \to B = \to C$ $vec A + vec B= vec C$ , what is the magnitude of $\to C$ $vecC$ , if $\to A$ $vecA$ and $\to B$ $vecB$ are unit vectors at right angle to each other?