Quick Help Please anyone

Question

asked Mar 24, 2022 71.4k views

1 Answer

Denizt · Answer 1 · 2022-03-30T19:50:04+0000

Answer:

1) False

2) True

3) a) True b) False

4) False

Explanation:

1)

Two-point are collinear if they lie in the same line. The vector -2AB is antiparallel to the vector AB then it is False.

2)

A unit vector could be difinede as:

$\vec{u}=\frac{\vec{v}}{|\vec{v}|}$

Terefore,
$(1)/(AB)\vec{AB}$ is a unit vector. It is True.

3)

a) If AB=-3AC

The points, A, B, and C are collinear, because all of them lie in the same line. True

b) Let's take the modulus in each side.

$\vec{AB}=-3\vec{AC}$

$|\vec{AB}|=|-3\vec{AC}|$

$|\vec{AB}|=|-3||\vec{AC}|$

$|\vec{AB}|=3|\vec{AC}|$

So it is False.

4)

If we put the vector AI = 3/2 AB into the first equation we will have:

$2(-(3)/(2)\vec{AB})+3\vec{IB}=-3\vec{AB}+3\vec{IB}$

And we can not say that it is a cero vector, so it is False.

I hope it helps you!