Home
Class 12
MATHS
Let A(2,3, 4) B(4, 3, 2), C(5, 2,-1) be ...

Let A(2,3, 4) B(4, 3, 2), C(5, 2,-1) be three points
(i) Find AB and BC.
(ii) Find the area of `DeltaABC`

Text Solution

Verified by Experts

The correct Answer is:
(i) `hat i - hat j - 3 hat k`
(ii) `sqrt 6` sq.unit
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise SOLUTIONS TO NCERT TEXT BOOK EXERCISE 10.1|4 Videos
  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise SOLUTIONS TO NCERT TEXT BOOK EXERCISE 10.1 (Answer the following as true or false )|4 Videos
  • TRIGONOMETRIC FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|134 Videos

Similar Questions

Explore conceptually related problems

Let A(1, 2, 4) and B(2, -1, 3) be two points. (i) Find vec (AB ) (ii) Find a unit vector along vec(AB)

Given A(1,1,1) , B(1, 2, 3) and C(2, 3, 1) are the vertices of DeltaABC . Find the area of DeltaABC .

Consider the triangle ABC with vertices A(1,2,3) , B(-1, 0, 4) and C(0, 1, 2) (a) Find vec (AB) and vec (AC) Find angle A . (c) Find the area of triangle ABC.

Consider three points A(-1, 1), B(0, 5) and C(3, 2) (i) Find the equations of AB, BC and AC (ii) Using integration, find the area of DeltaABC .

Consider the 4 points A(3, 2, 1) B(4, x, 5) C(4, 2, -2) and D(6, 5, -1) (i) Find vec(AB) , vec (AC) and vec(AD) . (ii) If the points A, B, C and D are coplanar, find the value of x.

Let A = { 1, 2, 3, 4, 5, 6}, B = { 2, 4, 6, 8 } . Find A – B and B – A .

Consider the points A(1, 2, 3), B(4, 0, 4) and C(-2, 4, 2). (a). Find vec(AB) and vec(BC) (b) Show that the points A, B, C are collinear.

Let A={1,2,3,4,5,6} and B={2,4,6,8,10}. Find the intersection of A and B.

Consider the points A(2,2,-1) , B(3,4,2) and C(7,0,6) i.Find AB. ii. Find the vector and cartesian equation of the plane passing through these points .