Home
Class 11
MATHS
Find the vector equation of the plane wh...

Find the vector equation of the plane which passes through the points `2bar(i)+4bar(j)+2bar(k), 2bar(i)+3bar(j)+5bar(k)` and parallel to the vector `3bar(i)-2bar(j)+bar(k)`. Also find the point where this plane meets the line joining the points `2bar(i)+bar(j)+3bar(k) and 4bar(i)-2bar(j)+3bar(k)`.

Text Solution

Verified by Experts

The correct Answer is:
`bar(r)=(2+3s)bar(i)+(4-t-2s)bar(j)+(2+3t+s)bar(k) and (-14/17, 89/17, 3),s, t in R`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise EXERCISE - 1.3 LONG ANSWER QUESTIONS|2 Videos

  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|10 Videos

  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise EXERCISE - 1.3 VERY SHORT ANSWER QUESTIONS|9 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL II) (Linked Comprehension Type Questions Passage -III:)|3 Videos

  • RATE MEASUREMENT

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - 1) (LEVEL - 1) (STRAIGHT OBJECTIVE TYPE QUESTION)|43 Videos

Similar Questions

Explore conceptually related problems

Find the vector equation of the line passing through the points 2bar(i) + bar(j)+3bar(k), -bar(i)+3bar(j)-bar(k) .

Find the vector equation of the line passing through the points 2 bar(i)+bar(j)+3bar(k) and -4bar(i)+3bar(j)-bar(k) .

Find the vector equation of the line passing through the points 2bar(i)+3bar(j)+4bar(k), 3bar(i)-2bar(j)+2bar(k) .

Find the vector equation of the line passing through the points -2bar(i)+3bar(j)+5bar(k), bar(i)+2bar(j)+3bar(k) .

Find the vector equation of the line passing through the points bar(i)+bar(j)+bar(k) and bar(i)-bar(j)+bar(k) .

Find the vector equation of the plane passing through the points bar(i)-2bar(j)+5bar(k), -5bar(j)-bar(k), -3bar(i)+5bar(j) .

Find the vector equation of the plane passing through the points 2bar(i)+bar(j)-bar(k), bar(i)-bar(j)+2bar(k) and parallel to bar(i)-2bar(j)-2bar(k)

Find the vector equation of the plane passing through the points 2bar(i)+bar(j)-bar(k), bar(i)-bar(j)+2bar(k), bar(i)-2bar(j)-2bar(k) .