Practice Unit Vector (5.3.2) - Vectors

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9 questions

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3 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What is a unit vector?
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Think about what 'unit' means!
Question 2.
Write the unit vectors along the x, y, and z axes.
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Remember the names of the axes!
3Question 3.
What is a unit vector?
- A vector with no direction
- A vector with a magnitude of one
- A vector in 3D space
- A vector only in 2D
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Focus on the definition of 'unit'!
4Question 4.
True or False: Unit vectors can only exist in two dimensions.
- True
- False
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Think about vector dimensions!
Question 5.
A vector B = (3, -4) is given. Calculate the unit vector in the direction of this vector and the angles formed with the axes.
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Use trig functions for angles!
Question 6.
Vector C = (1, 1, 1) needs to be expressed in terms of unit vectors along the axis. What does this look like?
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Make sure to normalize the vector!

5 more questions in this section. Enroll free to practise them all.