Given vectors u=7i + 3j and v=-4i + 3j, find 5u-4v in terms of unit vectors i and j

Step-by-step explanation:

The given vectors are u=7i + 3j and v=-4i + 3j, find 5u-4v in terms of unit vectors i and j.

We substitute the vectors to get:

We perform the scalar multiplication to get:

Group the components;

We simplify to get:

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

step-by-step explanation: