Show that the points A(1,-2,-8),B(5,0,-2...

Show that the points `A(1,-2,-8),B(5,0,-2)a n dC(11,3,7)` are collinear, and find the ratio in which `B` divides `A Cdot`

Topper's Solved these Questions

TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS
CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|6 Videos
VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS
CENGAGE PUBLICATION|Exercise DPP 2.4|20 Videos

Similar Questions

Explore conceptually related problems

Show that the points A(1,-2,-8),B(5,0,-2)andC(11,3,7) are collinear , and find the ratio in which B divides AC.

Show that the points A(1,2,7),B(2,6,3) and C(3,10,-1) are collinear.

If A(3,2,-4),B(5,4,-6)a n dC(9,8,-10) are three collinear points, then find the ratio in which point C divides A Bdot

Show that the points P(-2,3,5) ,Q (1,2,3) and R (7,0,-1) 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) .

Show that the points (-2,3,5) ,(1,2,3) and (7,0,-1) are collinear

Given that P (3,2,-4), Q (5,4,-6) & R (9,8,-10) are collinear. Find the ratio in which Q divides PR

Given that P(3,2,-4) Q(5,4-6) and R(9,8,-10) are collinear find the ratio in which Q divides PR

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) .

The points (-2,-5), (2,-2), (8,a) are collinear, then find the value of a

CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions

If vec A O+ vec O B= vec B O+ vec O C , then A ,B and C are (where O...
Text Solution
|
Find a vector magnitude 5 units, and parallel to the resultant of t...
Text Solution
|
Show that the points A(1,-2,-8),B(5,0,-2)a n dC(11,3,7) are collinear,...
Text Solution
|
The position vectors of Pa n dQ are 5 hat i+4 hat j+a hat k and - hat ...
Text Solution
|
Given three points are A(-3,-2,0),B(3,-3,1)a n dC(5,0,2)dot Then find ...
Text Solution
|
Let A B C D be a p[arallelogram whose diagonals intersect at P and ...
Text Solution
|
If A B C D is quadrilateral and Ea n dF are the mid-points of A Ca n d...
Text Solution
|
If A B C D is a rhombus whose diagonals cut at the origin O , then p...
Text Solution
|
Let D ,Ea n dF be the middle points of the sides B C ,C Aa n dA B , re...
Text Solution
|
Consider the set of eight vectors V[ahati+bhatj+chatk:a,b,c in {1-1}]....
Text Solution
|
Find the direction cosines of the vector joining the points A(1,2,-...
Text Solution
|
Find the direction cosines of the vector hat i+2 hat j+3 hat kdot
Text Solution
|
The median AD of the triangle ABC is bisected at E and BE meets AC at ...
Text Solution
|
Vectors vec a and vec b are non-collinear. Find for what value of...
Text Solution
|
i. If vec a , vec b and vec c are non-coplanar vectors, prove th...
Text Solution
|
Prove that a necessary and sufficient condition for three vectors ...
Text Solution
|
If vec a , vec b , vec ca n d vec d are distinct vectors such that ...
Text Solution
|
If vec a , vec ba n d vec c are non-coplanar vectors, prove that the ...
Text Solution
|
Find the unit vector in the direction of the vector vec a= hat i+ ...
Text Solution
|
let P an interioer point of a triangle A B C and A P ,B P ,C P meets t...
Text Solution
|