Find a vector that is perpendicular to < -6,4> .

The rule is that <a, b> is perpendicular to <b, -a>. You swap the coordinates and then change the sign of one of the coordinates.

In this case, a = -6 and b = 4

<a, b> = <-6 , 4>

<b, -a> = <4, 6>

Compute the dot product of the two vectors

<-6, 4> dot <4, 6> = (-6)(4) + (4)(6) = -24 + 24 = 0

Since the dot product is 0, this confirms that <4,6> is perpendicular to the given vector.

note: any scale factor of <4,6> will work as well. For example, <8, 12> is another possible answer since you multiply both parts of the answer above by the value 2. So there are infinitely many answers in the form <4*k, 6*k> where k is any real number.

your answer is 228

step-by-step explanation:

add the top and bottom bases together, then divide them by 2, then multiply by the height.