Q18 B of 44 Page 1057

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 ))


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 →
17 B

Find the area of the triangle whose two adjacent sides are determined by the vectors

and .


 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

Using vectors, find the area of ΔABC whose vertices are

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