Home
Class 12
MATHS
Find the angle between the line vec(r)=2...

Find the angle between the line `vec(r)=2hat(i)-hat(j)+2hat(k)=2hat(i)-hat(j)+2hat(k)` the plane `vec(r)*(2hat(i)-hat(j)+hat(k))`

Text Solution

Verified by Experts

The correct Answer is:
`sin^(-1)((2sqrt(2))/(3))`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

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

  • THREE DIMENSIONAL GEOMETRY

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION I) Multiple Choice Questions|5 Videos

  • THREE DIMENSIONAL GEOMETRY

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (SECTION VI) Short Answer Type Questions |12 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

Find the distance of the point (-1,-5,-10) from the point of intersection of the line vec(r)=2hat(i)-hat(j)+2hat(k)+lamda(3hat(i)+4hat(j)+2hat(k)) and the plane vec(r)*(hat(i)-hat(j)+hat(k))=5

Find the shortest distance between the lines vec(r)=hat(i)+hat(j)+lamda(2hat(i)-hat(j)+hat(k)) and vec(r)=2hat(i)+hat(j)-hat(k)+mu(3hat(i)-5hat(j)+2hat(k))

Find the angle between the pair of lines vec(r)=2hat(i)-5hat(j)+hat(k)+lamda(3hat(i)+2hat(j)+6hat(k)) and vec(r)=7hat(i)-6hat(k)+hat(h)(hat(i)+2hat(j)+2hat(k))

Find the shortest distance between the lines vec(r)=4hat(i)-3hat(j)+lamda(hat(i)+2hat(j)-2hat(k)) and vec(r)=hat(i)+hat(j)-hat(k)-mu(2hat(i)+4hat(j)-4hat(k))