The direction cosines of a vector `vecr`, which is equally inclined to `OX, OY` and `OZ` If `|vecr|` is given, the total number of such vectors is given by

Explanation

Let the required vector be


`vec{r}=a hat{i}+b hat{j}+c hat{k}`


Directions ratios are `a`, `b`, and `c`.

Since the vector is equally inclined to axes `O X`, `O Y` and `O Z`, thus the direction cosines are equal.

`frac{a}{text { magnitude of } vec{r}}=frac{b}{text { magnitude of } vec{r}}=frac{c}{text { magnitude of } vec{r}} `

`a=b={c}`

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