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Quick Help Please
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Quick Help Please anyone-example-1
User Cettt
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1 Answer

1 vote

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!

User Denizt
by
9.0k points

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