Maths · Scalar and vector products
The non zero vector related by and then angle between is
The non zero vector \( \vec{a}, \vec{b}, \vec{c} \) related by \( \vec{a}=8 \vec{b} \) and \( \vec{c}=-7 \vec{b}, \) then angle between \( \vec{a} \& \vec{c} \) is
- A. \( \pi \)
- B. \( \frac{\pi}{2} \)
- C. 0
- D. \( \frac{\pi}{4} \)
Step-by-step solution
Given a = 8b and c = -7b, vectors a and c are both scalar multiples of b. Since a is a positive multiple and c is a negative multiple, they point in opposite directions. Therefore, the angle between a and c is π radians (180 degrees).
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