Chapter 10: Q. 53 (page 777)
Show that the points (1, 5, 0), (3, 8, 6), and (7, −7, 4) are the vertices of a right triangle and find its area.
Short Answer
The area of the given triangle is 54.784 units
Chapter 10: Q. 53 (page 777)
Show that the points (1, 5, 0), (3, 8, 6), and (7, −7, 4) are the vertices of a right triangle and find its area.
The area of the given triangle is 54.784 units
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Get started for freeWhat is meant by the triangle determined by vectors u and v in ? How do you find the area of this triangle?
If u, v and w are three vectors in , which of the following products make sense and which do not?
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In Exercises 36–41 use the given sets of points to find:
(a) A nonzero vector N perpendicular to the plane determined by the points.
(b) Two unit vectors perpendicular to the plane determined by the points.
(c) The area of the triangle determined by the points.
In Exercises 24-27, find and the component of v orthogonal tou.
Find the norm of the vector.
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