Home
Class 12
MATHS
Vector equation of the line (x+1)/(2)=(y...

Vector equation of the line `(x+1)/(2)=(y-4)/(4)=(z+6)/(3)`

A

`vec(r)=(hat(i)-4hat(j)+6hat(k))+lamda(2hat(i)+4hat(j)+3hat(k))`

B

`vec(r)=(-hat(i)+4hat(j)-6hat(k))+lamda(2hat(i)+4hat(j)+3hat(k))`

C

`vec(r)=(2hat(i)+4hat(j)+3hat(k))+lamda(hat(i)-4hat(j)+6hat(k))`

D

`vec(r)=(2hat(i)+4hat(j)+3hat(k))+lamda(-hat(i)+4hat(j)-6hat(k))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION II) Short Answer Type Questions |12 Videos

  • THREE DIMENSIONAL GEOMETRY

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION III) Short Answer Type Questions |11 Videos

  • THREE DIMENSIONAL GEOMETRY

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (SECTION VIII) Long Answer Type Questions |11 Videos

  • RELATIONS AND FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE |43 Videos

  • VECTOR ALGEBRA

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MCQ)|46 Videos

Similar Questions

Explore conceptually related problems

The vector equation of the line (x-5)/(3)=(y+4)/(7)=(z-6)/(2) is .............

Find the vector equation of the line (x-1)/2=(y-2)/-3=(z+3)/4 .

Find a vector equation for the following line (x+3)/(2)=(y-5)/(4)=(z+5)/(2)

Find the vector equation of the line (x+4)/3=(y+3)/7=(z-5)/2

The cartesian equation of a line is (x-1)/(3)=(y-4)/(5)=(z-3)/(2) . Write its vector form.

if equation of the plane is (x-2)/(3)=(y-3)/(4)=(z-4)/(5) convert this in vector equation of the plane

True or false The vector equation of the line (x-5)/3=(y+4)/7=(z-6)/2 is vecr=5hati-4hatj+6hatk+lambda(3hati+7hatj+2hatk) .

write the vectoe equation of the line : (x-5)/-3=(y+4)/7=(6-z)/2 .