Home
Class 11
MATHS
If alpha, beta and gamma are the angles ...

If `alpha, beta and gamma` are the angles made by the vector `3bar(i)-6bar(j)+2bar(k)` with the positive directions of the coordinate axes then find `cosalpha, cosbeta and cosgamma`.

Text Solution

Verified by Experts

The correct Answer is:
`cosalpha=3/7, cosbeta=(-6)/7, cosgamma=2/7`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise EXERCISE - 1.1 SHORT ANSWER QUESTIONS|16 Videos
  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise EXERCISE - 1.2 VERY SHORT ANSWER QUESTIONS|3 Videos
  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise ADDITIONAL SOLVED EXAMPLES|10 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

If alpha, beta and gamma be the angle made by the vector 3bar(i)-6bar(j)+2bar(k) with the positive direction of the coordinate axes, then find cos alpha, cos beta, cos gamma .

If theta is the angle between the vectors bar(i) + bar(j) , bar(j) + bar(k) then find sin theta .

The vector abar(i)+b""bar(j)+cbar(k) is a bisector of the angle between the vectors bar(i)+bar(j) and bar(j)+bar(k) if

If the vectors - 3 bar(i) + 4 bar(j) + lambda bar(k) and mu bar(i)+ 8 bar (j) + 6 bar(k) are collinear vectors, then find lambda and mu

If bar(a)=bar(i)+2bar(j)+2bar(k) and bar(b)=3bar(i)+6bar(j)+2bar(k) then the vector in the direction of bar(a) and having magnitude as abs(bar(b)) is

If the vector -bar(i)+bar(j)-bar(k) bisects the angles between the vector bar(c) and the vector 3bar(i)+4bar(j) , then the unit vector in the direction of bar(c) is