How can I calculate the magnitude of vectors?

Answer 1

The following procedures can be used to calculate a vector's magnitude:

Represent the vectors on a cartesian plane. Let the vectors be #3# and #-5#

Now, draw the two vectors' horizontal and vertical components to create a vector triangle that has a right angle triangle formed in its center.

Find the unknown quantity now by applying the Pythagorean theorem.

Magnitude is just the two provided vectors' modulus put simply.

that is, root over (a^2+b^2).

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Answer 2

Olivia Askew

To calculate the magnitude of a vector, use the formula:

[ \text{Magnitude} (|\mathbf{v}|) = \sqrt{v_1^2 + v_2^2 + \ldots + v_n^2} ]

Where ( \mathbf{v} ) is the vector with components ( v_1, v_2, \ldots, v_n ).

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Answer from HIX Tutor

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.