Angle between vectors (HSC SSCE Mathematics Extension 2): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
What defines a vector in 3D space?
What defines a vector in 3D space?
Size and direction
What is the dot product of vectors?
What is the dot product of vectors?
A scalar
How is the angle between vectors found?
How is the angle between vectors found?
Using both dot product and magnitudes
What is the formula for cosine of angle?
What is the formula for cosine of angle?
u · v / |u| |v|
What does a dot product of zero indicate?
What does a dot product of zero indicate?
Vectors are orthogonal
What is the magnitude of vector v?
What is the magnitude of vector v?
√(x² + y² + z²)
What angle corresponds to parallel vectors?
What angle corresponds to parallel vectors?
0 degrees
What is the result of cos(θ) for orthogonal vectors?
What is the result of cos(θ) for orthogonal vectors?
0
What is the first step to find angle θ?
What is the first step to find angle θ?
Calculate dot product
Why are vector angles important?
Why are vector angles important?
In engineering and physics