Verla
MathLinear Algebra

Scalar Product of Two Three-Dimensional Vectors

Find the scalar product of two three-dimensional vectors and use the zero result to check perpendicularity.

Question

Calculate the scalar product u⋅v\mathbf u\cdot\mathbf v for u=⟨2,2,−1⟩\mathbf u=\langle2,2,-1\rangle and v=⟨−1,2,2⟩\mathbf v=\langle-1,2,2\rangle.

This question has been answered.

Explore the full answer and supporting references to better understand this question.

Verla BasicBest value

$19.99/month

  • Everything in Study Pass
  • Assignments with writing output
  • AI detection and humanizer
  • Basic quotas across every tool
Study Pass

$0.99/month

  • Entire question library
  • Knowledge guides and sources
  • Detailed answers and explanations
  • No AI tools or quotas

Evidence boundary

The vectors and requested dot product come from OpenStax Calculus Volume 3, Section 2.3, Exercise 125. This is an independent solution. The perpendicularity check is explanatory material added after the requested scalar result.