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Lynna [10]
3 years ago
13

Let v=-3sqrt2i-4sqrt2j, find a unit vector that points in the opposite direction

Mathematics
2 answers:
Hunter-Best [27]3 years ago
7 0

Answer:

\^v=-\frac{3}{5}i+\frac{4}{5}j

Step-by-step explanation:

We have the following vector

v=3\sqrt{2}i-4\sqrt{2}j

First we calculate its magnitude

The magnitude of the vector v will be

|v|=\sqrt{(3\sqrt{2})^2 + (4\sqrt{2})^2}\\\\|v|=\sqrt{9*2+16*2}\\\\|v|=\sqrt{18+32}\\\\|v|=5\sqrt{2}

Now to create a unitary vector in the opposite direction to v, we divide the vector v between the negative of its magnitude

we call this new vector "\^v"

\^v=\frac{3\sqrt{2}}{-5\sqrt{2}}i-\frac{4\sqrt{2}}{-5\sqrt{2}}j

\^v=-\frac{3}{5}i+\frac{4}{5}j

Ksivusya [100]3 years ago
5 0
Idk I think be v~14 * 72
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