Hello everyone! I’m back. And today we are going to find the answer to the question “D1.4. The three vertices of a triangle are located at A(6,-1,2), B(-2,3,-4). and C( -3,1,5)”. Follow our steps to find the right answer!

Question: D1.4. The three vertices of a triangle are located at A(6,-1,2), B(-2,3,-4). and C(-3,1,5)

Here is our question

Find:

(a) R_AB X R_AC

(b) the area of the triangle;

(c) a unit vector perpendicular to the plane in which the triangle is located.

Answer

We have: The following are some coordinate expressions of vector operations, formula for calculating the coordinates of the center of gravity of the triangle

with G is center of gravity of the triangle.

And here is answer:

a,

b,

c,

Relevent knowledge

Vector concept
Given line segment AB. If we choose point A as the starting point and point B as the end point, then the line segment AB has direction from A to B. Then we say AB is a directed line segment.
Definition: A vector is a directed line segment.

The line passing through the beginning and the end of a vector is called the price of that vector.
Definition: Two vectors are said to be in the same direction if their prices are parallel or coincide.

Conclusion

Thus, we have helped you to handle the question “D1.4. The three vertices of a triangle are located at A(6,-1,2), B(-2.3,-4). and C( -3,1,5)” If you have any difficulties, please contact us immediately for answers