Question

check my answer plz?
State whether the given measurements determine zero, one, or two triangles.

A = 36°, a = 3, b = 9

I got zero

Answer 1

Correct.

Answer 2

Thank you! Can you also check two more questions for me?

Answer 3

1. Determine whether the vectors u and v are parallel, orthogonal, or neither.

u = <1, -2>, v = <-4, 8>

I got Neither.

2. Evaluate the expression.

r = <9, -7, -1>, v = <2, 2, -2>, w = <-5, -2, 6>

v ⋅ w

I got <-10, -4, -12>

Answer 4

As you can see, a = 3 is too small to make a triangle.

Answer 5

Yes, a was 3 and b was 9 as indicated int he question

Answer 6

Slope of <1, 2> = 2/1 = 1
Slope of <-4, 8> = -8/4 = -2

Since 1 and -2 are not negative reciprocals, the vectors are not perpendicular.
Since 1 and -2 are not equal, the vectors are not parallel.

Answer 7

Got it

Answer 8

And my last one is okay as well?

Answer 9

@mathstudent55

Answer 10

The dot product of two vectors is a scalar, just a number.

Answer 11

v ⋅ w = <9, -7, -1>⋅ <-5, -2, 6> = 9(-5) + (-7)(-2) + (-1)(6)
= -45 + 14 - 6 = -37