Answer:
a) (0, -33, 12)
b) area of the triangle : 17.55 units of area
Explanation:
<h2>
a) </h2>
We know that the cross product of linearly independent vectors
and
gives us a nonzero, orthogonal to both, vector. So, if we can find two linearly independent vectors on the plane through the points P, Q, and R, we can use the cross product to obtain the answer to point a.
Luckily for us, we know that vectors
and
are living in the plane through the points P, Q, and R, and are linearly independent.
We know that they are linearly independent, cause to have one, and only one, plane through points P Q and R, this points must be linearly independent (as the dimension of a plane subspace is 3).
If they weren't linearly independent, we will obtain vector zero as the result of the cross product.
So, for our problem:







<h2>B)</h2>
We know that
and
are two sides of the triangle, and we also know that we can use the magnitude of the cross product to find the area of the triangle:

so:




Bulimia nervosa is similar in many ways because the individual is obsessed with their weight and wants to continuously lose weight to achieve their idea of a 'perfect' body shape. But with bulimia, there are periods of binging and purging. This means that the individual with bulimia may go through a period where they eat an excessive amount of food and then purge by using exercise, medications or vomiting to get rid of the food.
(I copied this from betterhelp.com)
The movie Star Wars<span> is a space
opera interstellar epic which uses science and technology in its settings and storylines, although its main
focus is not necessarily on science.</span>
Many
elements in the films appear to defy simple laws of physics.<span>
One of which is the falling of spaceships when they are hit by a laser beam.
Experts said, this is one good example because without gravity in space, ships
should travel in the direction of the impact instead of dropping like a stone.</span>
<span>
</span>
The Correct answer to number 1 is A or D
The correct answer to number 2 is C because transmission meaning is to travel.
PS. I think number 1 is D