99 Percentile Qs Bank for JEE MainMathematicsVector Algebra

If the position vectors of A, B and C are respectively 2 i - j + k , i -3 j -5 k and 3 i -4 j -4 k , then ^2 A is equal to

Options

A0
B6 41
C35 41
D1

Correct answer

C. 35 41

Step-by-step solution

Let O A =2 i - j + k , O B = i -3 j -5 k and aligned & O C =3 i -4 j -4 k & a=| OA |= 6 , b=| OB |= 35 & and c=| O C |= 41 & A= b^2+c^2-a^2 2 b c & = ( 35 )^2+( 41 )^2-( 6 )^2 2 35 41 & A= 70 2 35 41 = 35 41 & ^2 A= 35 41 aligned

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