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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

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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

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with G is center of gravity of the triangle.

And here is answer:

a,

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b,

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c,

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## 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

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