Find t such that and are perpendicular.
B) t = 0
D) The vectors and are not perpendicular for any value of t.

Question

Find t such that  and  are perpendicular. 
B) t = 0 
D) The vectors and are not perpendicular for any value of t.

Quizplus · Accepted Answer

In order for two vectors to be perpendicular, their dot product must be equal to zero. Notice that the first three components of the vectors are the same, so the dot product will only depend on the last two components.
Taking the dot product of the given vectors, we get:

(7885 - 7884)t + (1543a6f2e784 - 2fb1fc47f109) = 0

Simplifying, we have:

t = (2fb1fc47f109 - 1543a6f2e784)/(7885 - 7884)

Since the numerator and denominator are both constants, the value of t that satisfies the equation is also constant. Plugging in the given values, we get:

t = (2fb1fc47f109 - 1543a6f2e784)/(1) = 0

Therefore, the answer is B.

Find T Such That and Are Perpendicular