Let a → = 3 i ^ + 2 j ^ + x k ^ and b → = i ^ - j ^ + k ^ , for some real x . Then the condition for a → × b → = r to follow

Question

Let a → = 3 i ^ + 2 j ^ + x k ^ and b → = i ^ - j ^ + k ^ , for some real x . Then the condition for a → × b → = r to follow, 0 r ≤ 3 2, r ≥ 5 3 2, 3 2 r ≤ 3 3 2, 3 3 2 r 5 3 2

MARKS App · Accepted Answer

As, We know that a → × b → = i ^ j ^ k ^ 3 2 x 1 - 1 1 = 2 + x i ^ + x - 3 j ^ - 5 k ^ a → × b → = 4 + x 2 + 4 x + x 2 + 9 - 6 x + 25 = 2 x 2 - 2 x + 38 Therefore, we have ⇒ a → × b → ≥ 75 2 ⇒ a → × b → ≥ 5 3 2

Search any question & find its solution

Looking for more such questions to practice?