JEE Main 2025 Mathematics question
Let be the projection vector of , λ > 0, on the vector . If , then the area of the parallelogram formed by the vectors and is .
Answer: 16
Solution
c = ((λ+8)/9)(î+2ĵ+2k̂). |a+c|=7 gives λ=4. Area = |b×c| = 16.
Let be the projection vector of , λ > 0, on the vector . If , then the area of the parallelogram formed by the vectors and is .
c = ((λ+8)/9)(î+2ĵ+2k̂). |a+c|=7 gives λ=4. Area = |b×c| = 16.