Computer Programming with Vectors A computer programmer is designing a 3-D space game. She wants to have an asteroid fly past a spaceship along the path of vector m, collide with another asteroid, and be deflected along vector path l the spaceship is treated as the origin and is travelling along vector d. I(5, 20, 20) m(15, 25, 5) A(10,10, 10) (0. 0, 0) Solve the following using the information above: a Find the vector and parametric equations of the line determined by vector m. b. Add vectors m and I. Determine if an object whose path is along vector d will cross through the path / of the asteroid, resulting in a possible collision between the spaceship and asteroid. c. Draw vector k, normal to I, that passes through the origin and is perpendicular to l.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 48E
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Computer Programming with Vectors
A computer programmer is designing a 3-D space game. She wants to have an asteroid
fly past a spaceship along the path of vector m, collide with another asteroid, and be
deflected along vector path l the spaceship is treated as the origin and is travelling along
vector d.
I(5, 20, 20)
m(15, 25, 5)
A(10,10, 10)
(0. 0, 0)
Solve the following using the information above:
a Find the vector and parametric equations of the line determined by vector m.
b. Add vectors m and I. Determine if an object whose path is along vector d will cross
through the path / of the asteroid, resulting in a possible collision between the spaceship
and asteroid.
c. Draw vector k, normal to I, that passes through the origin and is perpendicular to l.
Transcribed Image Text:Computer Programming with Vectors A computer programmer is designing a 3-D space game. She wants to have an asteroid fly past a spaceship along the path of vector m, collide with another asteroid, and be deflected along vector path l the spaceship is treated as the origin and is travelling along vector d. I(5, 20, 20) m(15, 25, 5) A(10,10, 10) (0. 0, 0) Solve the following using the information above: a Find the vector and parametric equations of the line determined by vector m. b. Add vectors m and I. Determine if an object whose path is along vector d will cross through the path / of the asteroid, resulting in a possible collision between the spaceship and asteroid. c. Draw vector k, normal to I, that passes through the origin and is perpendicular to l.
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