# A vector is inclined at equal angles to the three axes. If the magnitude of is units, find .

Given that,

Magnitude of = 2√3

Also, given that

Vector is equally inclined to the three axes.

This means, direction cosines of the unit vector will be same. The direction cosines are (l, m, n).

l = m = n

The direction cosines of a vector are simply the cosines of the angles between the vector and the three coordinate axes.

We know the relationship between direction cosines is,

l2 + m2 + n2 = 1

l2 + l2 + l2 = 1 [ l = m = n]

3.l2 = 1

Also, we know that is represented in terms of direction cosines as,

We are familiar with the formula,

To find ,

Substituting values of and .

Thus, the value of is .

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