Home
Class 12
MATHS
The equation of the line in vector form ...

The equation of the line in vector form passing through the point (-1,3,5) and parallel to line `(x-3)/(2)=(y-4)/(3),z=2` is

A

`vec(r )=(-hat(i)+3hat(j)+5hat(k))+lamda(2hat(i)+3hat(j)+hat(k))`

B

`vec(r )=(-hat(i)+3hat(j)+5hat(k))+lamda(2hat(i)+3hat(j))`

C

`vec( r)=(2hat(i)+3hat(j)-2hat(k))+lamda(-hat(i)+3hat(j)+5hat(k))`

D

`vec(r )=(2hat(i)+3hat(j))+lamda(-hat(i)+3hat(j)+5hat(k))`

Text Solution

Verified by Experts

The correct Answer is:
B
`vecr=(-hati+3hatj+5hatk)+lambda(2hati+3hatj)`
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2019

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise Fill in the blanks|1 Videos

  • SAMPLE PAPER 2019

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise Fill in the blanks 14A|1 Videos

  • EXAM REVISION SERIES

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise All Questions|19 Videos

  • XII Boards

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise All Questions|255 Videos

Similar Questions

Explore conceptually related problems

The equation of the line in vector form passing through the point (-1,3,5) and parallel to the line (x-3)/(2) = ( y-4)/(3) , z=2 is

Find the equation of the line in vector form passing through the points (2, -1, 3) and (3, 1, 2)

Find the equation of a line passing through the point (2,3) and parallel to the line 3x-4y+5=0 .

Find the equations of the line passing through the point (-1, 2,1 ) and parallel to the line (2x-1)/4=(3y+5)/2=(2-z)/3dot

Find the equation of the plane passing through the point (3,4,1) and (0,1,0) and parallel to the line (x+3)/2=(y-3)/7=(z-2)/5

Find the equation of the plane passing through the point (3,4,1) and (0,1,0) and parallel to the line (x+3)/2=(y-3)/7=(z-2)/5

Find Cartesian and vector equation of the line which passes through the point (-2,4,-5) and parallel to the line given by (x+3)/3=(y-4)/5=(z+8)/6 .

Find Cartesian and vector equation of the line which passes through the point (-2,4,-5) and parallel to the line given by (x+3)/3=(y-4)/5=(z+8)/6 .

Find the equation of a line passes through the point (1,3) and parallel to the line 3x-5y+7=0 .

Find the equations of the lines passing through the point (4,5) parallel to lines 3x=4y+7 .