Motion in a Plane – Resolution of Vectors, Dot & Cross Product

Grade 11 Physics — Motion in a Plane – Resolution of Vectors, Dot & Cross Product: 25 practice questions with instant scoring and explanations.

1. The component of a vector A along a direction making angle θ with it is:
2. If A⃗ = 3î + 4ĵ, its x-component is:
3. The dot product A⃗·B⃗ of two vectors is:
4. The cross product A⃗×B⃗ has magnitude:
5. For perpendicular vectors A⃗ and B⃗:
6. For parallel vectors A⃗ and B⃗:
7. The dot product is:
8. The cross product is:
9. î·î equals:
10. î×ĵ equals:
11. The angle between A⃗ = î + ĵ and B⃗ = î − ĵ is:
12. If A⃗·B⃗ = AB, the angle between them is:
13. The work done by a force F⃗ in displacement s⃗ is:
14. Torque is defined as:
15. For A⃗ = 2î + 3ĵ and B⃗ = î + ĵ, A⃗·B⃗ equals:
16. Vectors are resolved into components because:
17. The magnitude of a vector in 3D with components (a, b, c) is:
18. If A⃗×B⃗ = 0 (both non-zero), then A⃗ and B⃗ are:
19. The angle between A⃗ and B⃗ when A⃗·B⃗ = −|A⃗||B⃗|:
20. A·B = B·A because the dot product is:
21. A×B = −B×A because the cross product is:
22. If a force 10 N makes 60° with the x-axis, its x-component is:
23. If a force 10 N makes 60° with the x-axis, its y-component is:
24. Area of parallelogram with sides A⃗ and B⃗ equals:
25. Volume of parallelepiped formed by A⃗, B⃗, C⃗ equals: