MHT CET2018PhysicsMathematics in Physics
If A → = 3 i ^ - 2 j ^ + k ^ , B → = i ^ - 3 j ^ + 5 k ^ and C → = 2 i ^ + j ^ - 4 k ^ form a right angled triangle then out of the following which one is satisfied?
Options
- AA → = B → + C →     a n d   A 2 = B 2 + C 2
- BA → = B → + C → a n d B 2 = A 2 + C 2
- CB → = A → + C → a n d B 2 = A 2 + C 2
- DB → = A → + C → a n d A 2 = B 2 + C 2
Correct answer
B. A → = B → + C → a n d B 2 = A 2 + C 2
Step-by-step solution
| A → | = 9 + 4 + 1 = 14 | B → | = 1 + 9 + 25 = 35 | C → | = 4 + 1 + 16 = 21 B 2 = A 2 + C 2 . A → = B → + C →