Math Problem Statement

diketahui titik-titik a(3, -1, 0), b(2, 4, 1), dan c(1, 0, 5). panjang proyeksi vektor ab pada vektor bc adalah ....

Solution

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Math Problem Analysis

Mathematical Concepts

Vector Projection
Dot Product
Vector Magnitude

Formulas

Vector AB = B - A
Vector BC = C - B
Dot Product: u · v = u1*v1 + u2*v2 + u3*v3
Vector Magnitude: |v| = √(v1^2 + v2^2 + v3^2)
Projection of u onto v: proj_v u = (u · v) / |v|

Theorems

Dot Product and Vector Projection Theorems

Suitable Grade Level

Grades 11-12