# How do you normalize #(- 4i + 5 j- k)#?

# -4/sqrt(42)hati+5/ sqrt(42)hatj-1/ sqrt(42)hatk#

A vector can be normalised by dividing it by its metric norm, resulting in a new scaled vector with a norm of unity.

Let me

The metric norm is thus provided by:

Thus,

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To normalize the vector (-4i + 5j - k), first calculate its magnitude using the formula |v| = sqrt(a^2 + b^2 + c^2), where a, b, and c are the components of the vector. Then divide each component of the vector by its magnitude to obtain the normalized vector.

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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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