CBSE 2026 · Region 3 · Set 2 · Q19 · 1 mark
Assertion (A) : The vectors $\displaystyle \overrightarrow{\mathrm{a}}$ and $\displaystyle (-2 \overrightarrow{\mathrm{a}})$, where $\displaystyle \overrightarrow{\mathrm{a}} \neq \overrightarrow{0}$ are collinear vectors.
Reason (R) : $\displaystyle \overrightarrow{\mathrm{a}} \cdot(-2 \overrightarrow{\mathrm{a}})=0$.
Official answer
From CBSE’s own marking scheme for this paper.
(C)
Assertion (A) is true, but Reason (R) is false.
Vector AlgebraMultiplication of a Vector by a ScalarAnalyseassertion_reasoneasy
More from Vector Algebra
- If a+ b+ c= 0 such that a =3, b =5, c =7, then find the angle between a and b. OR If a and b are unit vectors…2025 · asked 3×
- The position vectors of points P and Q are p and q respectively. The point R divides line segment PQ in the…2024 · asked 3×
- If a+ b= i and a=2 i-2 j+2 k, then b equals:2023 · asked 3×
- A vector a makes equal angles with all the three axes. If the magnitude of the vector is 5 √3 units, then…2025 · asked 3×
- The vector with terminal point A(2,-3,5) and initial point B(3,-4,7) is:2024 · asked 3×
- Find the position vector of point C which divides the line segment joining points A and B having position…2024 · asked 3×
- If a =2 and -3 ≤ k ≤ 2, then k a ∈:2024 · asked 3×
- Unit vector along PQ, where coordinates of P and Q respectively are (2,1,-1) and (4,4,-7), is2023 · asked 3×
CBSE Class 12 Mathematics past-paper question from the 2026board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.