Home
Class 12
MATHS
Show that the points A (4 , 7 , -6) , ...

Show that the points A (4 , 7 , -6) , B (2 , 5 , -4) and C ( 1 , 4 , -3) are collinear.

Text Solution

Verified by Experts

The correct Answer is:
`:. overline(CA) = sqrt(27) = 3 sqrt(3) ` unit
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise Multiple Choice Questions|18 Videos

  • INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise Very Short Answer Type Questions|60 Videos

  • INTEGRATION BY PARTS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

  • LAWS OF INDICES

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|6 Videos

Similar Questions

Explore conceptually related problems

Applying section formulae show that the points A(4. 7,-6), B (2, 5, -4) and C(1, 4, -3) are colinear.

Using section formula show tht the points A ( 9 , 8 , -10) , B ( 3 , 2 , -4) and C ( 5 , 4 , -6) are collinear .

Show that the points A ( 3 , 2 , -4) , B ( 5 , 4 , -6) and C ( 9 , 8 , -10) are collinear. Also find the ratio in which C divides the line-segment overline(AB) .

Using section formula, show that the points A (3 , 2 , -4) , b ( 5 , 4 , -6) and C ( 9 , 8 , -10) are collinear . Also find the ratio in which the point B divides the line-segment overline(AC) .

Using direction ratio show that the points (2, 6, 3), (1, 2, 7) and (3, 10, -1) are collinear.

The points ( 5 , 2 , 4) , ( 6 , - 1 , 2) and ( 8 , - 7 , k) are collinear if k=

By using section formula, show that the points .(1, 2, 3), (-2, 4, 2) and (7, -2, 5) are colinear

Using direction ratios show that the points P(2, 3, 4) Q(-1, -2, 1) and R(5, 8, 7) are collinear.

Prove that the points ( 2 , 3, 5) , ( - 4 , 7 , - 7) , ( - 2 , 1 , -10) and ( 4 , - 3 , 2) are the vertices of a rectangle .

Using vector method show that the points A(-5,7), B(-4,5) and C(1, -5) are collinear.