Math Problem Statement
Find the distance of the point (4,4,-4) from the line r(t)=<-1+4t,-1+3t,3-3t>
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Vector Algebra
Cross Product
Distance Formula
Formulas
Distance from point to line: d = |PQ × v| / |v|
Cross Product: PQ × v
Magnitude of a vector: |v| = √(v_x^2 + v_y^2 + v_z^2)
Theorems
Cross Product Theorem
Vector Magnitude Theorem
Suitable Grade Level
Grades 11-12, College-level
Related Recommendation
Shortest Distance from Point (-2, -1, 8) to the Line r(t) = t(0, 4, -2)
Find the Distance from a Point to a Line in 3D using Vector Algebra
Finding Distance from a Point to a Line in 3D
Distance from Point to Line in 3D Space: Step-by-Step Solution
Find the Distance from Point to Line in 3D Using Cross Product