IXL - Add and subtract three-dimensional vectors (Precalculus practice)

⟨

–

⟩

and

⟨

⟩

find the sum

ref_doc_title.

Learn with an example

question

⟨

–

⟩

and

⟨

–

⟩

find the sum

key idea

If a vector has the initial point

(

)

and the terminal point

(

)

its component form is:

⟨

–

⟩

The first component is the change in the

-direction

(

–

the second component is the change in the

-direction

(

–

and the third component is the change in the

-direction

(

–

To write the sum of two vectors in component form, add the

-components,

and

-components

to each other, respectively.

solution

Find the sum

Plug in

⟨

–

⟩

and

⟨

–

⟩

⟨

–

⟩

⟨

–

⟩

Plug in

⟨

–

⟩

and

⟨

–

⟩

Add the components

⟨

–

⟩

Add the components

⟨

–

⟩

So,

⟨

–

⟩

Looking for more? Try this:

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Teacher tools

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Y.7Add vectors

Y.8Subtract vectors

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