Show that the four points A, B, C, D with position vectors a→,b→,c→,d→ respectively such that 3a→-2b→+5c→-6d→=0→ are coplanar. Also, find the position vector of the point of intersection of the line segments AC and BD.

Show that the four points A, B, C, D with position vectors $\vec{a}, \vec{b}, \vec{c}, \vec{d}$ respectively such that $3 \vec{a} - 2 \vec{b} + 5 \vec{c} - 6 \vec{d} = \vec{0}$ are coplanar. Also, find the position vector of the point of intersection of the line segments AC and BD.

Mixed-up sentence exercise

Put the parts in order to form a sentence. When you think your answer is correct, click on "Check" to check your answer. If you get stuck, click on "Hint" to find out the next correct part.