Start learning →

Two non-zero vectors a and b are PERPENDICULAR if and only if:

A$a + b = 0$ (zero sum)
B$a × b = 0$ (zero cross)
C$a · b = 0$ (zero dot product)
D$|a| = |b|$ (equal magnitude)
Answer & Solution
Correct answer: C. $a · b = 0$ (zero dot product)
PERPENDICULAR vectors have dot product = |a||b| cos 90° = 0. So a · b = 0. CROSS PRODUCT = 0 means PARALLEL vectors.
Practise this question with Quill — GRE →

Keep practising Vector Algebra and 3D Geometry

Browse all Vector Algebra and 3D Geometry questions for GRE, or explore more Mathematics topics.

Start a Vector Algebra and 3D Geometry lesson →