PU CSS 2026 Vectors Free Quiz 2

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PU CSS 2026 Vectors Free Quiz 2

PU CSS Quiz

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Remaining: 10

Navigator 10 Q

General

General 10 MCQs

11. What is the dot product of (a₁, a₂, a₃) and (b₁, b₂, b₃)?

A. a₁a₂ + b₁b₂ B. a₁b₁ - a₂b₂ - a₃b₃ C. a₁b₁ + a₂b₂ + a₃b₃ D. a₁ + b₁

12. What is (1,2,3)·(4,5,6)?

A. 22 B. 30 C. 28 D. 32

13. How do you find the angle between two vectors?

A. cos θ = (vec{a}·vec{b})/(|vec{a}||vec{b}|) B. sin θ = (vec{a}·vec{b})/(|vec{a}||vec{b}|) C. tan θ = (vec{a}·vec{b})/(|vec{a}||vec{b}|) D. cot θ = (vec{a}·vec{b})/(|vec{a}||vec{b}|)

14. What is the cross product of two vectors?

A. |vec{a}||vec{b}| sin θ hat{n} B. |vec{a}||vec{b}| cos θ C. 0 D. |vec{a}||vec{b}|

15. What is the cross product of parallel vectors?

A. |vec{a}||vec{b}| B. 0 C. -|vec{a}||vec{b}| D. 1

16. What is hat{i} × hat{j}?

A. hat{i} B. hat{j} C. hat{k} D. -hat{k}

17. What is |(1,0,0) × (0,1,0)|?

A. 1 B. 0 C. 2 D. √2

18. What is the scalar triple product?

A. vec{a}·(vec{b} × vec{c}) B. vec{a} × (vec{b}·vec{c}) C. (vec{a}·vec{b}) × vec{c} D. vec{a} × vec{b} × vec{c}

19. What does the scalar triple product represent?

A. Area B. Volume C. Length D. Angle

20. What is the vector equation of a line?

A. vec{r} = vec{a} - tvec{b} B. vec{r} = tvec{a} + vec{b} C. vec{r} = vec{a} + tvec{b} D. vec{r} = vec{a} × tvec{b}

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