Vectors - Types, Addition, Section Formula
Maths Higher · Grade 12 · Week 28 · 25 questions
Vectors is a core Grade 12 mathematics chapter carrying significant board weight, covering Types, Addition, and Section Formula. For JEE, speed on these standard problem types is critical — build fluency through timed practice.
What you'll practise
- Classify Types
- Identify Addition
- Identify Section Formula
- Solve CBSE board-pattern problems from vectors including NCERT exemplar-level questions
All 25 questions in this Vectors - Types, Addition, Section Formula quiz
Grade 12 Maths Higher — Vectors - Types, Addition, Section Formula: 25 practice questions with instant scoring and explanations.
- A vector is a quantity with:
- A zero vector 0 has:
- Unit vector in direction of vector a is:
- If a = (1, 2, 3), then |a| =
- Two vectors are equal if:
- Vector addition a + b is performed by:
- For vectors a = (1, 2) and b = (3, 4), a + b =
- Vector subtraction a - b is:
- Position vector of point P(x, y, z) is:
- Vector from point A(1, 2) to B(4, 6) is:
- Section formula: Point dividing AB in ratio m:n internally is:
- Midpoint of AB where A = (1, 2) and B = (5, 6) is:
- For external division of AB in ratio m:n, formula is:
- Centroid of triangle with vertices A, B, C is:
- Collinear vectors are:
- Coplanar vectors lie in:
- For vectors a and b to be parallel:
- The magnitude of vector (3, 4, 0) is:
- If a = 2i + 3j + 6k, then |a| =
- Scalar multiplication: 2a where a = (1, 2, 3) gives:
- Properties of vector addition include:
- Distance between A(1, 2, 3) and B(4, 6, 9) is:
- Vector components in 2D: a = a_x i + a_y j where i, j are:
- If point P divides AB in ratio 1:1 internally, P is:
- Magnitude of vector a = 3î + 4ĵ:
Question 1 of 250 correct so far