Let theta be the angle between the lines...

Let `theta` be the angle between the lines AB and AC, where A, B and C are the three points with co-ordinates `(1,2,-1),(2,0,3),(3,-1,2)` respectively, then `sqrt(462)costheta` is equal to

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

THREE DIMENSIONAL GEOMETRY
TARGET PUBLICATION|Exercise Competitive Thinking|37 Videos
THREE DIMENSIONAL GEOMETRY
TARGET PUBLICATION|Exercise Evaluation Test|9 Videos
THREE DIMENSIONAL GEOMETRY
TARGET PUBLICATION|Exercise Evaluation Test|9 Videos
PROBABILITY DISTRIBUTION
TARGET PUBLICATION|Exercise Evaluation test|5 Videos
TRIGONOMETRIC FUNCTIONS
TARGET PUBLICATION|Exercise Evaluation Test|34 Videos

Similar Questions

Explore conceptually related problems

A point C divides the line AC, where A(1, 3) and B(2, 7) in the ratio of 3:4 . The coordinates of C are

The co - ordinates of the centroid of a triangle ABC are (2,2) what are the co ordinates of vertex c if co ordinates of a and b (7,-1) and (1,2) respectively

If A,B,C are points (1,0,-1), (0,1,-1) and (-1,0,1) respectively find the sine of the angle between the lines AB and AC.

Let theta_(1), be the angle between two lines 2x+3y+c=0 and -x+5y+c,=0, and theta_(2) be the angle betweentwo lines 2x+3y+c=0 and -x+5y+c_(1)=0, where c_(1),c_(2),c_(3), are any real numbers: Statement-1: If c_(2) and c_(3), are proportional,then theta_(1)=theta_(2) Statement-2: theta_(1)=theta_(2) for all c_(2) and c_(3) .

The distance between the points (cos theta,sin theta) and (sin theta-cos theta) is sqrt(3)(b)sqrt(2)(d)1

The angle made by line AB with perpendicular of co-ordinates axes if A-=(0,sqrt(3),0) and B-=(0,0,-1) are

D is the midpoint of line segment AB. The co-ordinates of A and D are (2, 4) and (-1, 3), respectively. The co-ordinates of B are:

TARGET PUBLICATION-THREE DIMENSIONAL GEOMETRY -Critical Thinking

A line passes through the point (6, -7, -1) and (2, -3, 1). The direct...
Text Solution
|
If first two numbers of the direction cosines of a line joining points...
Text Solution
|
If the points (2,a,-1),(3,4,b)and(1,-2,3) are collinear, the values of...
Text Solution
|
If (1,a,1),(3,-1,2)and(1,a^(2),1) are collinear, then the values of a ...
Text Solution
|
Points (-2, 4, 7), (3, -6 -8) and (1, -2, -2) are
Text Solution
|
If the angle between the lines whose direction cosines are a,(-2)/(3),...
Text Solution
|
The acute angle between the lines having direction ratios 5,4,1 and -3...
Text Solution
|
Find the angle between the lines whose direction ratios are: 2,-3,4 ...
Text Solution
|
Let theta be the angle between the lines AB and AC, where A, B and C a...
Text Solution
|
The direction cosines l, m and n of two lines are connected by the rel...
Text Solution
|
Find the angle between the line whose direction cosines are given ...
Text Solution
|
The direction cosines of a line equally inclined to three mutually per...
Text Solution
|
Find the angle between any two diagonals of a cube.
Text Solution
|
The diection cosines of two lines are proportional to (2,3,-6) and (3,...
Text Solution
|
If the line joining the points (-2,1,-8) and (a, b, c) is parallel to ...
Text Solution
|
If A,B,C,D are (2,3,-1),(3,5,-3),(1,2,3),(3,5,7) respectively, then th...
Text Solution
|
Direction ratios of two lines are a ,b ,ca n d1//b c ,1//c a ,1//a ...
Text Solution
|
If the direction cosines of two lines are l(1), m(1), n(1) and l(2), m...
Text Solution
|
The direction cosines of a line perpendicular to lines whose direction...
Text Solution
|
Find the direction cosines of the line which is perpendicular to the l...
Text Solution
|