Q23 of 138 Page 24

Show that the points whose position vectors are form a right triangle.

Given Data:















= -2×3+(-1)×(-2)+1×4


= -6+2+4




Angle A right angle, ABC is right angle triangle.


More from this chapter

All 138 →
21

Find the angles of a triangle whose vertices are A(0, -1, -2), B(3, 1, 4) and C(5, 7, 1).

 22

Find the magnitude of two vectors and having the same magnitude and such that the angle between them is 60o and their scalar product is 1/2.

 24

If the vertices A, B, C of ΔABC have position vectors (1, 2, 3),(-1, 0,0),(0, 1, 2) respectively, what is the magnitude of ∠ ABC?

 25

If A, B, C have position vectors (0, 1, 1), (3, 1, 5), (0, 3, 3) respectively, show that is right angled at C.