Math Problem Statement

If u = [6, 1, 8] is orthogonal to v = [k, -4, 5], determine the value(s) of k

Solution

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Linear Algebra
Vector Operations
Orthogonality

Formulas

Dot Product: u ⋅ v = u1 * v1 + u2 * v2 + u3 * v3

Theorems

Vectors are orthogonal if their dot product is zero

Suitable Grade Level

Grades 10-12