Home
Class 12
MATHS
The vector equation vec(r)=(hat(i)-2hat(...

The vector equation `vec(r)=(hat(i)-2hat(j)-hat(k))+t(6hat(j)-hat(k))` represents a straight line passing through the points

A

(0, 6,-1) and (1, -2, -1)

B

(0,6, -1) and (-1, 4,-2)

C

(1, -2, -1) and (1,4,-2)

D

(1, -2, -1) and (0, -6, 1)

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER - 14 (UNSOLVED)

    FULL MARKS|Exercise PART-II II. Answer any seven questions. Question No. 30 is compulsory.|10 Videos
  • SAMPLE PAPER - 14 (UNSOLVED)

    FULL MARKS|Exercise PART-III III. Answer any seven questions. Question No. 40 is compulsory.|10 Videos
  • SAMPLE PAPER - 1

    FULL MARKS|Exercise PART-IV (Answer the questions)|14 Videos
  • SAMPLE PAPER - 16

    FULL MARKS|Exercise PART - IV|14 Videos

Similar Questions

Explore conceptually related problems

Show that the lines vec(r)=(6hat(i)+hat(j)+2hat(k))+s(hat(i)+2hat(j)-3hat(k)),andvec(r)=(3hat(i)+2hat(j)-2hat(k))+t(2hat(i)+4hat(j)-5hat(k)) are skew lines and hence find the shortest distance between them.

Find the parametric form of vector eqution of the straight line passing through (-1,2,1) and paralle to the straight line vec(r)=(2hat(i)+3hat(j)-hat(k))+t(hat(i)-2hat(j)+hat(k)) and lines find the shortest distance between the lines.

The angle between the lines vec(r)=(hat(i)+2hat(j)-3hat(k))+t(2hat(i)+hat(j)-2hat(k))" and the plane "vec(r)*(hat(i)+hat(j))+4=0 is

Find the angle between the line vec(r)=(2hat(i)-hat(j)+hat(k))+t(6hat(i)+2hat(j)-2hat(k))" and the plane "vec(r)*(6hat(i)+3hat(j)+2hat(k))=8

Find the parametric form of vector equation, and Cartesian equations of the plane containing the line vec(r)=(hat(i)-hat(j)+3hat(k))+t(2hat(i)-hat(j)+4hat(k))" and perpendicular to plane "vec(r)*(hat(i)+2hat(j)+hat(k))=8.

Find the non-parametric form of vector equation and Cartesian equations of the straight line passing through the point with position vector 4hat(i)+3hat(j)-7hat(k)" and parallel to the vector "2hat(i)-6hat(j)+7hat(k).

Two vectors vec(A) = hat(i) + 2 hat(j) + 2 hat(k) and vec(B) = hat(i) + 3 hat(j) + 6 hat(k) find . angle between them .

If vec(a)=2hat(i)+3hat(j)-hat(k),vec(b)=hat(i)+2hat(j)-5hat(k),vec(c)=3hat(i)+5hat(j)-hat(k), then a vector perpendicular to vec(a) and lies in the plane containing vec(b)andvec(c) is