Class 11 Mathematics · Chapter 14 · Test 2
Dot Product and Work
37 MCQs Covers the dot product, angle between vectors, projection, perpendicularity and right-triangle conditions (Ex 14.2).
37 questions · 30 min · 37 marks
Want to try first? Take the free Mathematics test: Complex Number Operations
Sample questions
The first 5 of 37. Try each one, then tap to see the answer.
Question 1
The dot product u · v of two non-zero vectors is defined as
- A|u||v| sin θ
- B|u||v| cos θ
- C|u| + |v| cos θ
- D|u||v| tan θ
Show answerHide answer
Answer: B
θ is the angle between the vectors, 0 ≤ θ ≤ π.
Question 2
The dot product of two vectors is a
- Avector
- Bunit vector
- Cnull vector
- Dscalar
Show answerHide answer
Answer: D
That is why it is also called the scalar product.
Question 3
i · i + j · j + k · k equals
- A3
- B0
- C1
- D−1
Show answerHide answer
Answer: A
Each equals 1.
Question 4
i · j equals
- A1
- Bk
- C0
- D−1
Show answerHide answer
Answer: C
Perpendicular unit vectors have dot product 0.
Question 5
Which statement about the dot product is true?
- Au · v = −v · u
- Bu · v = v · u
- Cu · v is a vector
- Du · v = |u| + |v|
Show answerHide answer
Answer: B
The dot product is commutative.
More tests in Vectors in Space
Practise with a free account
Save your scores, see which chapters need work, and keep a notebook of every question you got wrong.