Question

If A = 2i + 2j + pk and B = 2i -j + k are perpendicular to each other. Calculate the value of p.

​

Answer 1

Given info : vector A = 2i + 2j + pk and vector B = 2i - j + k are perpendicular to each other.

To find : the value of p is...

solution : if two vectors are perpendicular to each other, dot product of these two vectors must be equal to zero.

here, A and B are perpendicular to each other.

∴ A.B = 0

⇒(2i + 2j + pk).(2i - j + k) = 0

⇒2 × 2 + 2 × -1 + p × 1 = 0

⇒4 - 2 + p = 0

⇒p = -2

Therefore the value of p is -2.

also read similar questions : Find the value of lambda so that vector a = 2i+lambda j+k and b=4i+2j-2k are perpendicular t each other

https://brainly.in/question/11427151

If vector of a =2i+2j+3k, b=-i+2j+k and c=3i+j are such that a+λb is perpendicular to c , then find the value of λ.

https://brainly.in/question/5226286