Math Problem Statement
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If the vertices of a triangle are A= (6,0), B = (3,5) and C = (-1,-1), compute the scalar projection of sides AB and CB on AC,and check that their sum is equal to the length of AC
Solution
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Math Problem Analysis
Mathematical Concepts
Vector Projections
Dot Product
Vector Magnitude
Formulas
Scalar Projection of u on v = (u · v) / |v|
Vector Magnitude |v| = sqrt(vx^2 + vy^2)
Theorems
Scalar Projection Theorem
Suitable Grade Level
Grades 10-12
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