QI Prove that vectore Ã and B are parallel ro each other À = 4i+ 3j

1.	QI Prove that vectore Ã and B are parallel ro each other À = 4i+ 3j +k , B = 12 i+ 9j + 3K
Answer» Explanation: 1. first method :- A=4i +3j+k B = 12i+9j+3k = 3(4i+3j+k) =3A since B is equal to scalar mutiple of A. hence A and B are parallel 2. second method:- finding angle using formula cos x = A.B ।A। ।B। hence cosx= (4i+3j+k).(12i+9j+3k) (26)½(234)1/2 cosx = 48+27+3 (6084)½ cosx = 78 78 cosx=1 => x=0 Angle between two vectors is zero therefore,A and B vectors are parallel

QI Prove that vectore Ã and B are parallel ro each other À = 4i+ 3j +k , B = 12 i+ 9j + 3K

Answer»

Explanation:

1. first method :-

A=4i +3j+k

B = 12i+9j+3k

= 3(4i+3j+k)

=3A

since B is equal to scalar mutiple of A.

hence A and B are parallel

2. second method:-

finding angle using formula

cos x = A.B

।A। ।B।

hence cosx= (4i+3j+k).(12i+9j+3k)

(26)½(234)1/2

cosx = 48+27+3

(6084)½

cosx = 78

cosx=1 => x=0

Angle between two vectors is zero

therefore,A and B vectors are parallel

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QI Prove that vectore Ã and B are parallel ro each other À = 4i+ 3j +k , B = 12 i+ 9j + 3K​