# If a is any vector then prove that a=(a.i)+(a.j)j+(a.k)k.

### Asked by sunil2791 | 21st Nov, 2017, 06:04: PM

Expert Answer:

### Let a be the vector such that

### Answered by Sneha shidid | 29th Nov, 2017, 11:37: AM

## Concept Videos

- v=e^xyz(i+j+k) find curl v
- If a vectors = 2 i – 4 j + 5 k then find value of lamda so that lamda times a (vector) may be a unit vector i j and k are unit vector/axis
- Please help me with this question
- Find the distance between the point A(– 1, 2, 3) and B(1, – 1, – 3).
- Find the vector joining the points P(– 2, – 3, 4) and Q(3, 2, 5) directed from P to Q. Also find the distance between the points.
- If , then find the value of
- Find the position vector of mid-point of joining the points (6, – 2, 3) and (4, 2, –5).
- If P, Q and R have position vectors (0, 0, 2), (2, 0, 0) and (0, 1, 0). Show that is an isosceles.
- The position vectors of A, B and C are and . Prove that A, B and C are collinear.
- Letbe the position vectors of the vertices A, B and C respectively of a triangle ABC. If G is the centroid of triangle ABC, then prove that

### Kindly Sign up for a personalised experience

- Ask Study Doubts
- Sample Papers
- Past Year Papers
- Textbook Solutions

#### Sign Up

#### Verify mobile number

Enter the OTP sent to your number

Change