A(2, 3), B(-1, 5), C(-1, 1) and D(-7, 5)...

A(2, 3), B(-1, 5), C(-1, 1) and D(-7, 5) are four points in the Cartesian plane. Check if, `bar(CD)` is parallel to `bar(AB)`.

Text Solution

AI Generated Solution

Topper's Solved these Questions

QUESTION BANK 2021
NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise LINE AND PLANE |40 Videos
QUESTION BANK 2021
NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise LINEAR PROGRAMMING PROBLEMS|30 Videos
QUESTION BANK 2021
NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PAIRS OF LINES |21 Videos
PROBABILITY DISTRIBUTION
NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|9 Videos
THREE DIMENSIONAL GEOMETRY
NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|8 Videos

Similar Questions

Explore conceptually related problems

If A(2, 3, 4), B(5, 4, -1), C(3, 6, 2) and D(1, 2, 0) be four points, show that vec(AB) is perpendicular to vec(CD) .

If A(2, -5), B(-2, 5), C(x, 3) and D(1, 1) be four points such that AB and CD are perpendicular to each other, find the value of x.

If A(-2,50,B(3,1) and P,Q are the points of trisection of bar(AB), then mid point of bar(PQ) is

the equationof a plane is 2x-y-3z=5 and A(1,1,1),B(2,1,-3),C(1,-2,-2) and D(-3,1,2) are four points. Which of the following line segments are intersects by the plane? (A) AD (B) AB (C) AC (D) BC

If A(1,2,3),B(4,5,7) ,C(-4,3,-6) and D(2,9,2) are four given points then find the angle between the lines AB and CD.

If points A (2, 4, 0), B(3, 1, 8), C(3, 1, -3), D(7, -3, 4) are four points then projection of line segment AB on line CD.

If A(3,4,5),B(4,6,3),C(-1,2,4) and D(1,0,5) are such that the angle between bar(DC) and bar(AB) is theta then cos theta=

If A-=(3,4-2),B-=(1,-1,2),C-=(0,3,2) and D-=(3,5,6) , then the angle between bar(AB) and bar(CD) is

NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-VECTOR AND THREE DIMENSIONAL GEOMETRY

Find the magnitude of a vector with initial point : (1, -3, 4), termin...
Text Solution
|
Find the coordinates of the point which is located, three units behind...
Text Solution
|
A(2, 3), B(-1, 5), C(-1, 1) and D(-7, 5) are four points in the Cartes...
Text Solution
|
Find a unit vector in the opposite direction of bar(u). Where bar(u) =...
Text Solution
|
The non zero vectors bar(a) and bar(b) are not collinear find the valu...
Text Solution
|
If bar(a) = 4 hat(i) + 3 hat(k) and bar(b) = - 2 hat(i) + hat(j) + 5 ...
Text Solution
|
Find the distance from (4, -2, 6) to the XZ-Plane.
Text Solution
|
If the vectors 2 hat(i) - q hat(j) + 3 hat(k) and 4 hat(i) - 5 hat(j)...
Text Solution
|
Find bar(a). bar(b) xx bar(c), if bar(a) = 3 hat(i) - hat(j) + 4 hat(k...
Text Solution
|
If a line makes angle 90o, 60oand 30owith the positive direction of ...
Text Solution
|
The vector bar(a) is directed due north and |bar(a)| = 24. The vector ...
Text Solution
|
Show that following points are collinear P(4, 5, 2), Q(3, 2, 4), R(5, ...
Text Solution
|
If a vector has direction angles 45^(@) and 60^(@) find the third dire...
Text Solution
|
If bar(c) = 3 bar(a) - 2 bar(b) then prove that [(bar(a),bar(b),bar(c...
Text Solution
|
If |bar(a).bar(b)| = |bar(a) xx bar(b)| & bar(a). bar(b) lt 0, then fi...
Text Solution
|
The direction ratios of a vector perpendicular to the two lines whose ...
Text Solution
|
If bar(a), bar(b) and bar(c) are position vectors of the points A, B, ...
Text Solution
|
If bar(a) and bar(b) are two vectors perpendicular each other, prove t...
Text Solution
|
Find the position vector of point R which divides the line joining the...
Text Solution
|
Find a unit vector perpendicular to the vectors hat(j) + 2 hat(k) & ha...
Text Solution
|