The position vectors of points A and B a...

The position vectors of points A and B are `hati+3hatj-7 hatk` and `5hati-2hatj+4hatk` respectively, then the direction cosine of `bar(AB)` along Y-axis is

A

`(-5)/(sqrt(162))`

B

`(4)/(sqrt(162))`

C

`(11)/(sqrt(162))`

D

`(5)/(sqrt(162))`

Text Solution

Verified by Experts

The correct Answer is:

A

Topper's Solved these Questions

QUESTION PAPER MHT-CET 2016
NIKITA PUBLICATION|Exercise MCQs|50 Videos
TRIGONOMETRIC FUNCTIONS
NIKITA PUBLICATION|Exercise MCQs|404 Videos

Similar Questions

Explore conceptually related problems

If the position vectors of A and B are hati+3hatj-7hatk and 5hati-2hatj+4hatk , then the direction cosine of AB along Y-axis is

The position vectors of A and B are 2hati-9hatj-4hatk and 6hati-3hatj+8hatk respectively, then the magnitude of AB is

If the position vectors of P and Q are (hati+3hatj-7hatk) and (5hati-2hatj+4hatk) , then |PQ| is

If the position vectors of the points A and B are 3hati+hatj+2hatk and hati-2hatj-4hatk respectively then the equation of the plane through B and perpendicular to AB is

If the position vectors of A and B respectively hati+3hatj-7hatk and 5 hati-2hatj+4hatk , then find AB

The position vectors of points A,B and C are hati+hatj,hati + 5hatj -hatk and 2hati + 3hatj + 5hatk , respectively the greatest angle of triangle ABC is

The position vectors of points A and B are hati - hatj + 3hatk and 3hati + 3hatj - hatk respectively. The equation of a plane is vecr cdot (5hati + 2hatj - 7hatk)= 0 The points A and B

If the position vectors of P and Q are hati+2hatj-7hatk and 5hati-2hatj+4hatk respectively, the cosine of the angle between PQ and Z-axis is

If the position vectors of P and Q are hati+2hatj-7hatk and 5hati-3hatj+4hatk respectively, the cosine of the angle between vec(PQ) and z-axis is

NIKITA PUBLICATION-THREE DIMENSIONAL GEOMETRY -MULTIPLE CHOICE QUESTIONS

The direction cosine of vector 3 hati+4hatj+5hatk in the direction of...
Text Solution
|
If the vector 2 hati-3hatj+7 hatk makes angles alpha, beta, gamma with...
Text Solution
|
The position vectors of points A and B are hati+3hatj-7 hatk and 5hati...
Text Solution
|
The direction cosines of a line parallel to the line (x+1)/(2)=(y)/(-...
Text Solution
|
The line joining the points -2,1,-8)a n d(a ,b ,c) is parallel to t...
Text Solution
|
If the line segment joining the points A(7, p, 2) and B(q, -2, 5) be ...
Text Solution
|
The line joining the points (4, 1, 2) and (5, p, 0) is parallel to the...
Text Solution
|
If A(-1, 2, -3), B(5, 0, -6) and C(0, 4, -1) are the vertices of tria...
Text Solution
|
A line passes through the points (3, 1, 2) and (5, -1, 1) . Then the ...
Text Solution
|
A line passes through the point (3, 1,2) and (5,-1,1), find the direct...
Text Solution
|
Direction cosines of the line passing through the points A(-4, 2, 3) a...
Text Solution
|
Direction cosines of the line passing through the points A(-4, 2, 3) a...
Text Solution
|
If a line has the direction ratios 4, -12, 18, then its direction cos...
Text Solution
|
If a line has the direction ratios -1, 2, 3, then its direction cosin...
Text Solution
|
The direction cosines of a line whose direction ratios are 1, -2, 3 ar...
Text Solution
|
If |bar r|=9 and bar r is equally inclined to the co-ordinate axes, th...
Text Solution
|
If |baru|=3 and baru is equally inclined to the unit vectors hati, hat...
Text Solution
|
If OP=8 and OP makes angles 45^(@) and 60^(@) with OX-axis and OY-axis...
Text Solution
|
If vector r wiith dc's l,m,n is equally inclined to the coordinate axe...
Text Solution
|
The number of lines which are equally inclined to the axes is :
Text Solution
|