LLet each of the vectors A = 5a, --a, + 3n,, B = – 2a, + 2u, + 4n,, and C - 3n, – 4u, extend outward from the origin of a cartesian coordinate system to points A, B, and C, respectively. Find a unit vector directed from point A toward: (a) the origin; (b) point B; (c) a point equidistant from B and C on the line BC. (d) Find the length of the perimeter of the triangle ABC.
LLet each of the vectors A = 5a, --a, + 3n,, B = – 2a, + 2u, + 4n,, and C - 3n, – 4u, extend outward from the origin of a cartesian coordinate system to points A, B, and C, respectively. Find a unit vector directed from point A toward: (a) the origin; (b) point B; (c) a point equidistant from B and C on the line BC. (d) Find the length of the perimeter of the triangle ABC.
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Transcribed Image Text:Let each of the vectors A = 5a, -- a, + 3n,, B = – 2a, + 2a, + 4n,, and C = 3a, – 4u,
extend outward from the origin of a cartesian coordinate system to points A, B, and
C, respectively. Find a unit vector directed from point A toward: (a) the origin; (b) point
B; (c) a point equidistant from B and C on the line BC. (d) Find the length of the
perimeter of the triangle ABC.
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