Q18 of 44 Page 1057

Using vectors, find the area of ΔABC whose vertices are

A(3, −1, 2), B(1, −1, −3) and C(4, −3, 1)


Through the vertices we get the adjacent vectors as,



The area of the triangle = , where a and b are it’s adjacent sides vectors.


Area =



Here,


We


have


⇒


Thus, substituting the values of ,


in equation (i) we get


⇒


⇒


⇒ sq units


More from this chapter

All 44 →
18 A

Using vectors, find the area of ΔABC whose vertices are

A(1, 1, 2), B(2, 3, 5) and C(1, 5, 5)


 18 B

Using vectors, find the area of ΔABC whose vertices are

A(1, 2, 3), B(2, −1, 4) and C(4, 5, Δ1) ((considering Δ1 as 1 ))


 18 D

Using vectors, find the area of ΔABC whose vertices are

A(1, −1, 2), B(2, 1, −1) and C(3, −1, 2).


 19

Using vector method, show that the given points A, B, C are collinear:

A(3, −5, 1), B(−1, 0, 8) and C(7, −10, −6)