Determine whether the vectors u and v are parallel, orthogonal, or neither.
u = < 3, 0> , v = < 0, -6>

it is orthogonal

Step-by-step explanation:

if you do the dot product.

U dot V = 0

(3 times 0) + (0 times 6 ) = 0

0 + 0 = 0

therefore it is orthogonal.

the dot product says that if u dot v equals zero, then you can say that it is orthogonal.

 The given vectors u and v are orthogonal.

Step-by-step explanation:  We are given to check whether the following vectors are parallel, orthogonal or neither :

u = <3, 0> and v = <0, -6>.

WE have

the dot product of the vectors <a, b> and <c, d> is given by

D.P. = ac + bd.

So, the dot product of the given vectors u and v is given by

D.P. = <3, 0> . <0, -6> = 3×0 + 0×(-6) = 0 + 0 = 0.

Therefore, the given vectors are orthogonal.

Thus, the vectors u and v are orthogonal.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1