MHTCET 2026: Vectors High Weightage Chapter 🔥 Complete Analysis #mhtcet2026

Q) Using vectors, find the value of K such that the points (K,−11,2),(0,−2,2) and (2,4,2)

Q. 16 - Sphere | Analytic Geometry and Vector Calculus

Q) Let 𝑎 ,𝑏 and 𝑐 be three vectors such that 𝑎 ⋅𝑏 =𝑎 ⋅𝑐 and 𝑎 ×𝑏 =𝑎 ×𝑐 ,𝑎 ≠0. Show

Mastering Vectors in GCSE and A-Level Maths

If 𝐚 𝐛 , 𝐜 𝐚𝐧𝐝 𝐝 are four non-zero vectors such that 𝐚 ×𝐛 =𝐜 ×𝐝 and 𝐚 ×𝐜 =𝟒𝐛 ×𝐝

Q.- 17 | Sphere - Analytic Geometry and Vector Calculus

Q) Find a vector of magnitude 5 which is perpendicular to the vectors 3𝑖 −2𝑗 +𝑘 and 4𝑖 +3𝑗 −2

Q) Using vectors, find the value of ‘b’ if the points A(-1, -1, 2), B(2, b, 5) and C(3, 11, 6)

Q) Three vectors 𝐚 ⃗. 𝐛 ⃗ 𝐚𝐧𝐝 𝐜 ⃗ satisfy the condition 𝐚 ⃗+𝐛 ⃗+𝐜 ⃗=𝟎 ⃗. Evaluate the

If points A, B and C have position vectors 𝟐𝐢 ̂, 𝐣 ̂ 𝐚𝐧𝐝 𝟐𝐤 ̂ respectively, then show

Q) If the sides 𝐴𝐵 and 𝐴𝐶 of △𝐴𝐵𝐶 are represented by vectors 𝑗+𝑘 and 3𝑖 −𝑗 +4𝑘 then

Q) Projection of vector 𝟐𝐢 ̂+𝟑𝐣 ̂ on the vector 𝟑𝐢 ̂−𝟐𝐣 ̂ is #cbse2026 #maths #cbse2023

Q) Write the projection of the vector (𝐛 ⃗+𝐜 ⃗ ) on the vector 𝐚 ⃗, 𝐰𝐡𝐞𝐫𝐞 𝒂 ⃗= 𝟐𝐢 ̂−

Q) The projection vector of vector 𝑎 ⃗ on vector 𝑏 ⃗ is#cbse2026 #maths

Q) The magnitude of the vector 𝟔𝐢 ̂−𝟐𝐣 ̂+𝟑𝐤 ̂ is #cbse2026 #maths #class12maths

Q) Let p ⃗ and q ⃗ be two unit vectors and 𝛼 be the angle between them. Then (𝑝 ⃗+𝑞 ⃗)

Q) The values of 𝑥 for which the angle between the vectors a ⃗=2𝑥^2 i ˆ+4𝑥j ˆ+k ˆ and b ⃗=7i