1 Answer

Karsten Silz · Answer 1 · 2022-09-27T17:47:20+0000

Answer:

Choice c.
√(12)

Explanation:

Vectors

Suppose we have a vector v defined as

$\vec v=a\mathvf{i}+b\mathvf{j}$

The magnitude of the vector is:

$\mid\mid\vec v\mid\mid=√(a^2+b^2)$

On the other hand, the dot product of the vector by itself is:

$\vec v\cdot\vec v=a*a+b*b=a^2+b^2$

Note the relation between these two operations is:

$\mid\mid\vec v\mid\mid=√(\vec v\cdot\vec v)$

Since we are given:

$\vec v\cdot\vec v=12$ , then:

$\mid\mid\vec v\mid\mid=√(12)$

Choice c)
√(12)

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