Vector (Cross) Product & Applications
Maths Higher · Grade 12 · Week 30 · 25 questions
Vector (Cross) Product & Applications is a core Grade 12 mathematics chapter carrying significant board weight, covering core concepts. Board paper almost always contains one 5-mark proof and two 3-mark application problems from this area.
What you'll practise
- Master the key derivations and worked examples from NCERT for vector (cross) product & applications
- Solve CBSE board-pattern problems from vector (cross) product & applications including NCERT exemplar-level questions
All 25 questions in this Vector (Cross) Product & Applications quiz
Grade 12 Maths Higher — Vector (Cross) Product & Applications: 25 practice questions with instant scoring and explanations.
- Vector (cross) product a × b has direction given by:
- For 2D vectors in 3D: (a₁, a₂, 0) × (b₁, b₂, 0) =
- Which of the following best describes what a × b is?
- Using the standard identity, the value of a × a is:
- For perpendicular vectors a and b: |a × b| =
- For parallel vectors a and b: a × b =
- Cross product satisfies distributivity: a × (b + c) =
- Unit vectors: i × j =
- Using the standard identity, the value of j × k is:
- Using the standard identity, the value of k × i is:
- For i × i, j × j, k × k:
- Area of parallelogram with sides a and b is:
- Area of triangle with sides a and b is:
- Scalar triple product [a, b, c] = a·(b × c) represents:
- For vectors a = (1,0,0), b = (0,1,0), c = (0,0,1): [a,b,c] =
- If three vectors are coplanar, their scalar triple product is:
- Vector triple product a × (b × c) =:
- The formula (a × b)·c = a·(b × c) is due to:
- Torque τ = r × F where r is position and F is force:
- If a = (1, 2, 3) and b = (4, 5, 6), then a × b =
- For a and b perpendicular with |a| = 3, |b| = 4:
- Lagrange's identity: |a × b|² + (a·b)² =
- If a × b = c and b × c = a, then c × a =
- The magnitude |a × b| is maximum when a and b are:
- |a × b| equals:
Question 1 of 250 correct so far