IXL - Linear combinations of vectors (Precalculus practice)

⟨

–

⟩

and

⟨

–

⟩

find

–

ref_doc_title.

Learn with an example

question

⟨

–

⟩

and

⟨

–

⟩

find

–

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

(horizontal change) and the second component,

–

is the change in the

-direction

(vertical change).

To multiply a vector by a scalar, multiply each component by the scalar. To add two vectors, add their components. To subtract two vectors, subtract their components.

solution

Find

–

Plug in

⟨

–

⟩

and

⟨

–

⟩

–

⟨

–

⟩

–

⟨

–

⟩

Plug in

⟨

–

⟩

and

⟨

–

⟩

⟨

–

⟩

–

⟨

–

⟩

Subtract the components

⟨

–

⟩

Subtract the components

⟨

–

⟩

So,

–

⟨

–

⟩

Looking for more? Try this:

$Confetti$

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Teacher tools

Work it out

Not feeling ready yet? These can help:

Y.7Add vectors

Y.8Subtract vectors

Y.10Multiply a vector by a scalar

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