# How do you normalize # (3i – 4j + 4k) #?

The answer is

The normalized vector is thus

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To normalize the vector ( (3i - 4j + 4k) ), you first find the magnitude of the vector, then divide each component of the vector by its magnitude. The magnitude of the vector ( (3i - 4j + 4k) ) is ( \sqrt{3^2 + (-4)^2 + 4^2} = \sqrt{9 + 16 + 16} = \sqrt{41} ). So, the normalized vector is ( \frac{1}{\sqrt{41}} (3i - 4j + 4k) ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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