Home
Class 12
MATHS
A line passes through a point A with pos...

A line passes through a point A with position voctor `3hat i+hatj-hatk` and is parallel to the vector `2hat i-hat j+2hat k`. If P is a point on this line such that `AP = 15` units, then the position vector of the point P is/are

A

`13hat(i) + 4hat(j) - 9hat(k)`

B

`13hat(i) - 4hat(j) + 9hat(k)`

C

`7hat(i) - 6hat(j) + 11hat(k)`

D

`-7hat(i) + 6hat(j) - 11hat(k)`

Text Solution

Verified by Experts

The correct Answer is:
B, D
Promotional Banner

Topper's Solved these Questions

  • VECTOR

    MOTION|Exercise EXERCISE - 3|38 Videos

  • VECTOR

    MOTION|Exercise EXERCISE - 4 ( LEVEL -I)|36 Videos

  • VECTOR

    MOTION|Exercise EXERCISE - 2 ( LEVEL -I)|21 Videos

  • TRIGONOMETRIC EQUATION

    MOTION|Exercise EXERCISE 4|10 Videos

Similar Questions

Explore conceptually related problems

A line passes through a point A with position voctor 3hat i+hat j-hat k and is parallel to the vector 2hat i-hat j+2hat k .If P is a point on this line such that AP=15 units,then the position vector of the point P is/are

Find the image of the point with position vector (3hat i+hat j+2hat k) in the plane vec r*(2hat i-hat j+hat k)=4

A line passes through the point with position vector 2 hat i-3 hat j+4 hat k and is in the direction of 3 hat i+4 hat j-5 hat kdot Find equations of the line in vector and Cartesian form.

A line passes through the points whose position vectors are hat i+hat j-2hat k and hat i-3hat j+hat k the position vector of a point on the line at a unit distance from the first point is

A line passes through the point with position vector 2hat i-3hat j+4k is in the direction of 3hat i+4hat j-5hat k. Find the equations of the line in vector and Cartesian forms.

A line passing through the point A(1,-1,-1) and is parallel to the vector (3hat i-2hat j+3hat k) .The shortest distance of the point (0,2,1) from the line is

Find the vector equation of a line passing through a point with position vector 2hat i-hat j+hat k ,and parallel to the line joining the points -hat i+4hat j+hat k and hat i+2hat j+2hat k. Also, find the cartesian equivalent of this equation.

Find the vector equation of a line passing through the point with position vector hat i-2hat j-3hat k and parallel to the line joining the points with position vectors hat i-hat j+4hat k and 2hat i+hat j+2hat k. Also,find the cartesian equivalent of this equation.

A line passes through the point with position vector 2hat(i)-3hat(j)+4hat(k) and is in the diretion of 3hat(i)+4hat(j)-5hat(k) . Find the equation of the line is vector and cartesian forms.

A line passes through the point A(5,-2.4) and it is parallel to the vector (2hat(i) -hat(j) +3hat(k)) .The vector equations of the line is