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find a unit vector in the same direction as the vector (-4,7)

Explanation:

Compute the magnitude:

∣∣→a∣∣=√(−10)2+62+(−7)2

∣∣→a∣∣=√100+36+49

∣∣→a∣∣=√185

To obtain the unit vector of →a=(−10,6,−7), we divide each component by √185 but we should rationalize 1√185 to √185185:

ˆa=(−10√185185,6√185185,−7√185185)

Step-by-step explanation:

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the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

step-by-step explanation:

the shape,the size and the distance