The position vector of a point is

MATHEMATICS · Subjective · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

The position vector of a point

P

\mathbf{r} = x\hat{i} + y\hat{j} + z\hat{k}

, where

x, y, z \in \mathbb{N}

and

\mathbf{a} = \hat{i} + 2\hat{j} + \hat{k}

. If

\mathbf{r} \cdot \mathbf{a} = 20

and the number of possible

P

9\lambda

, then the value of

\lambda