Avector u has a magnitude of 15 and a direction of 0 degrees. a vector v has a magnitude of 9 and a direction of 35 degrees. find the direction and magnitude of u+v to the nearest whole values

Step-by-step explanation:

Sum Of Vectors

Given

the sum of both is

Given a vector

The magnitude of \vec x is

And the angle is forms with the positive x-axis is

We have

Also

The sum of both vectors is

The magnitude of the sum is

We compute the angle (direction)

Rounding to the nearest integer

Rounding the magnitude

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 .