If vector u = (5, 3) and vector v = (-1, 4), what is the component form of vector u + v?

Solution:

Step1:

The given component form of vector (u+v) is evaluated by the vectors.

It is defined by adding each component of vectors.

Step2:

The formula for adding the vectors is

u + v = (u\(_1\) + v\(_1\), u\(_2\) + v\(_2\))

Step3:

In vector addition, we just add each component of the vectors to each other.

u + v = (u\(_1\) + v\(_1\), u\(_2\) + v\(_2\))

where u\(_1\) = 5 and v\(_1\) = 3 and u\(_2\) = -1 and v\(_2\) = 4.

u + v = ( 5 - 1) i + (3 + 4) j

Therefore, u + v = 4 i + 7 j

The component form is expressing the vectors in ordered pairs.

In the component form, u + v = <4, 7>

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If vector u = (5, 3) and vector v = (-1, 4), what is the component form of vector u + v?

Summary:

If vector u = (5, 3) and vector v = (-1, 4), what is the component form of vector u + v = <4, 7>