Let a, b, and c be three non-zero vectors such that b and c are non-collinear. If a + 5b is collinear with c,…

Question

Let **$$\vec{a}$$**, **$$\vec{b}$$**, and **$$\vec{c}$$** be three non-zero vectors such that **$$\vec{b}$$** and **$$\vec{c}$$** are non-collinear. If **$$\vec{a} + 5\vec{b}$$** is collinear with **$$\vec{c}$$**, **$$\vec{b} + 6\vec{c}$$** is collinear with **$$\vec{a}$$**, and **$$\vec{a} + \alpha\vec{b} + \beta\vec{c} = 0$$**, then **$$\alpha + \beta$$** is equal to:

Accepted Answer

A. $$35$$

Answer

B. $$30$$

Answer

C. $$-30$$

Answer

D. $$-25$$

Answer & step-by-step solution

Practice more Basics of Vectors questions

Related questions