Question
Download Solution PDFWhat are the values of x for which the angle between the vectors 2x2 + 3x + and −2 + x2 is obtuse ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
- The angle between two vectors
and is given by, - If
= a1 + a2 + a3 and = b1 + b2 + b3 , then
Calculation:
Given: The angle between the vectors 2x2
The angle between the vectors 2x2
⇒
⇒
Since θ is obtuse,
⇒ cos θ < 0
⇒ 3x2 - 6x < 0
⇒ x(x - 2) < 0
⇒ 0 < x < 2
∴ The correct option is (1).
Last updated on May 30, 2025
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