Explanation
Vector Algebra Solving
A. ∣A+B∣=∣A−B∣
Dono taraf square karne par:
A2+B2+2ABcosθ=A2+B2−2ABcosθ
Match: III (90∘)
B. ∣A×B∣=A⋅B
Cross product aur dot product ke formulas rakhne par:
Match: I (45∘)
C. ∣A−B∣=AB
Ye tabhi sambhav hai jab A aur B unit vectors hon ya specific magnitude ke hon. Lekin agar hum standard results dekhen:
Diye gaye angles mein se, ye condition complex hai, par agar A=B=1 aur θ=60∘ ho toh ∣A−B∣=1.
Match: IV (60∘)
D. ∣A×B∣=2AB
Formula use karne par:
Match: II (30∘)
Final Matching Summary
| List-I (Equation) |
List-II (Angle) |
| (A) $ |
\vec{A} + \vec{B} |
| (B) $ |
\vec{A} \times \vec{B} |
| (C) $ |
\vec{A} - \vec{B} |
| (D) $ |
\vec{A} \times \vec{B} |
Sahi Option: A-III, B-I, C-IV, D-II
