Concept explainers
The area of the triangle with the vertices
Answer to Problem 50E
The area of triangleis
Explanation of Solution
Given information:
The three vertices of the triangle
Formula used:
If
If
Let
If there are two three-dimensional vectors in a space, say,
Calculation:
Consider the given vertices of the triangle
Let the given vertices
Recall that if
So, the vertices of the triangle will be calculated as,
Recall if there are two three-dimensional vectors in a space, say,
So, the cross product of
Recall that if
So, the magnitude of
Now, recall if
So, the area of the triangle will be calculated as,
Hence, the area of triangleis
Chapter 11 Solutions
EBK PRECALCULUS W/LIMITS
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