If 4i + (2p/3) j + pk is parallel to the vector i + 2j + 3k, find p.
Answers
Answer:
The required answer is p = -12/13
Step-by-step explanation:
Given vectors are
u = 4i + (2p/3) j + pk
v = i + 2j + 3k
Given that the vectors are Parallel.
We know that if two vectors are parallel then Their dot product is equal to zero.
⇒ u. v = 0
( 4i + (2p/3) j + pk ) . ( i + 2j + 3k ) = 0
(4)(1) + (2p/3)(2) + (p)(3) = 0
4 + 4p/3 + 3p = 0
Multiplying Both sides by 3 , we get
12 + 4p + 9p = 0
13p = - 12
The Answer is p = -12/13
Answer:
Ur required answer is 12
Step-by-step explanation:
The required answer is p = -12/13
Step-by-step explanation:
Given vectors are
u = 4i + (2p/3) j + pk
v = i + 2j + 3k
Given that the vectors are Parallel.
We know that if two vectors are parallel then Their dot product is equal to zero.
⇒ u. v = 0
( 4i + (2p/3) j + pk ) . ( i + 2j + 3k ) = 0
(4)(1) + (2p/3)(2) + (p)(3) = 0
4 + 4p/3 + 3p = 0
Multiplying Both sides by 3 , we get
12 + 4p + 9p = 0
12+p(4+9)=0
12+p(13)=0
12+p=0÷13
P=-12