Vectors - Types, Addition, Section Formula

Grade 12 Maths Higher — Vectors - Types, Addition, Section Formula: 25 practice questions with instant scoring and explanations.

1. A vector is a quantity with:
2. A zero vector 0 has:
3. Unit vector in direction of vector a is:
4. If a = (1, 2, 3), then |a| =
5. Two vectors are equal if:
6. Vector addition a + b is performed by:
7. For vectors a = (1, 2) and b = (3, 4), a + b =
8. Vector subtraction a - b is:
9. Position vector of point P(x, y, z) is:
10. Vector from point A(1, 2) to B(4, 6) is:
11. Section formula: Point dividing AB in ratio m:n internally is:
12. Midpoint of AB where A = (1, 2) and B = (5, 6) is:
13. For external division of AB in ratio m:n, formula is:
14. Centroid of triangle with vertices A, B, C is:
15. Collinear vectors are:
16. Coplanar vectors lie in:
17. For vectors a and b to be parallel:
18. The magnitude of vector (3, 4, 0) is:
19. If a = 2i + 3j + 6k, then |a| =
20. Scalar multiplication: 2a where a = (1, 2, 3) gives:
21. Properties of vector addition include:
22. Distance between A(1, 2, 3) and B(4, 6, 9) is:
23. Vector components in 2D: a = a_x i + a_y j where i, j are:
24. If point P divides AB in ratio 1:1 internally, P is:
25. Review question for Vectors - Types, Addition, Section Formula