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Amiraneli [1.4K]
3 years ago
6

Given two vectors A=4i^+3j^ and vector B=5i^-2j^.find the magnitude of each vector

Physics
1 answer:
Flura [38]3 years ago
4 0

Answer:

<em>Magnitude of A=5</em>

<em>Magnitude of B=5.39</em>

Explanation:

<u>The magnitude of Vectors in Rectangular Form</u>

Given a vector v in its rectangular form:

\mathbf{v}=x\hat i+y\hat j

The magnitude of v is:

\mid\mid\mathbf{v}\mid \mid=\sqrt{x^2+y^2}

We are given the vectors

\mathbf{A}=4\hat i+3\hat j

\mathbf{B}=5\hat i-2\hat j

Their magnitudes are:

\mid\mid\mathbf{A}\mid \mid=\sqrt{4^2+3^2}=\sqrt{16+9}=\sqrt{25}

\mid\mid\mathbf{A}\mid \mid=5

\mid\mid\mathbf{B}\mid \mid=\sqrt{5^2+(-2)^2}=\sqrt{25+4}=\sqrt{29}

\mid\mid\mathbf{B}\mid \mid=\sqrt{29}=5.39

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