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Mathematics 13 Online
OpenStudy (sloppycanada):

Complete the following magnitude

OpenStudy (sloppycanada):

|dw:1448951977212:dw|

OpenStudy (sloppycanada):

Ohhhh I think I made a mistake. I didn'tsee the comma.

OpenStudy (sloppycanada):

Magnitude of ... 4* (3, -1)

ganeshie8 (ganeshie8):

To multiply a vector by a number, simply multiply each component by the number

ganeshie8 (ganeshie8):

4*(3, -1) (4*3, 4*(-1)) (12, -4)

ganeshie8 (ganeshie8):

now take the magnitude

OpenStudy (sloppycanada):

So the distance formula.

ganeshie8 (ganeshie8):

Yes \(\|(a,b)\| = \sqrt{a^2+b^2}\)

OpenStudy (sloppycanada):

sqrt 128

ganeshie8 (ganeshie8):

try again

ganeshie8 (ganeshie8):

remember (-a)^2 = a^2

OpenStudy (sloppycanada):

It's not 0,0 is it? Do I use 3,-1?

OpenStudy (sloppycanada):

sqrt 160.

ganeshie8 (ganeshie8):

Yes!

ganeshie8 (ganeshie8):

which is same as 4sqrt(10)

OpenStudy (sloppycanada):

Oh okay... How would just go about simplifying that on my own?

ganeshie8 (ganeshie8):

sqrt(160) = sqrt(16*10) = sqrt(16)*sqrt(10) = 4*sqrt(10)

OpenStudy (sloppycanada):

Ohhh so I break it up. Got it.

OpenStudy (sloppycanada):

Thanks so much for your help, again!

ganeshie8 (ganeshie8):

np :)

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