Home
Class 12
MATHS
Show that the vectors 2 hat i + 3 hat j ...

Show that the vectors `2 hat i + 3 hat j + 4 hat k` and `4 hat i + 6 hat j + 8 hat k` are collinear.

Text Solution

Verified by Experts

The correct Answer is:
`therefore ``vec a` and `vec b` are collinear, since `vec b` is a scalar multiple of `vec a`.
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise SOLUTIONS TO NCERT TEXT BOOK EXERCISE 10.1|4 Videos

  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise SOLUTIONS TO NCERT TEXT BOOK EXERCISE 10.1 (Answer the following as true or false )|4 Videos

  • TRIGONOMETRIC FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|134 Videos

Similar Questions

Explore conceptually related problems

Show that the vectors vec a = hat i - 2 hat j + 3 hat k, vec b = -2 hat i + 3 hat j - 4 hat k and vec c = hat i - 3 hat j + 5 hat k are coplanar.

Show that the vectors vec a = hat i - 2 hat j + 3 hat k , vec b = -2 hat i +3hat j - 4 hat k and vec c = hat i - 3 hat j + 5 hat k are coplanar.

Show that the vectors 2 hat i - 3 hat j + hat k , - 4hati - hat j + 3 hat k and -2 hat i - 4hatj + 4 hat k are coplanar.

Show that the points with position vectors 2 hat i + 6 hat j + 3 hat k , hat i + 2 hat j + 7 hat k and 3 hat i + 10 hat j - hat k are collinear.

Show that the points with the position vectors 2 hat i + 6 hat j + 3 hat k, hat i + 2 hat j + 7 hat k and 3 hat i + 10 hat j - hat k are collinear.

Find the angle between the vectors hat i - 2 hat j + 3 hat k and 3 hat i - 2 hat j + hat k .

Prove that the vectors 3 hat i + hat j + 3 hat k and hat i - hat k are perpendicular.

Find lambda if the vectors 5 hat i + 2 hat j - hat k and lambda hat i - hat j + 5 hat k are orthogonal.

The unit vector in the direction of the sum of vectors hat i + hat j + hat k and 2 hat i + 3 hat j + 4 hat k is

If the vectors 3 hat i + lambda hat j + hat k and 2 hat i - hat j + 8 hat k are perpendicular, then lambda is