MHT CET202013 Oct 2020Morning ShiftPhysicsMathematics in PhysicsActual
If A =3 -2 j + k , B = -3 j +5 k and C =2 + -4 k form a right angled triangle then out of the following which one is satisfied?
Options
- AB = A + C , B ²= A ²+ C ²
- BA = B + C , B ²= A ²- C ²
- CC = A + B , C ²= A ²+ B ²
- DA = B + C , B ²= A ²+ C ²
Correct answer
D. A = B + C , B ²= A ²+ C ²
Step-by-step solution
array l A =3 i -2 j + k B = -3 +5 k C =2 + -4 k array Here, aligned A &=( -3 +5 k )+(2 + -4 k ) &=( B + c ) &=3 -2 + k Satisfied A = B + C aligned and array l A²=( 14 )²=14 B²=35 C²=21 So, B²=A²+C² array