Question

Show that the vector i^+j^+k^ is equally inclined to the axes OX, OY and OZ.​

Answer 1

Answer:

Solution:

Let a⃗ =i^+j^+k^

Therefore, the direction cosines of a⃗ are (1/√3, 1/√3, 1/√3).

Let α, β, γ be the angles formed by a⃗ with the positive directions of x, y, and z-axes.

Then,

cos α = 1/√3, cos β = 1/√3 cos γ = 1/√3

Hence, the given vector is equally inclined to axes OX, OY and OZ.

Answer 2

Answer:

Solution:

Let a⃗ =i^+j^+k^

Therefore, the direction cosines of a⃗ are (1/√3, 1/√3, 1/√3).

Let α, β, γ be the angles formed by a⃗ with the positive directions of x, y, and z-axes.

Then,

cos α = 1/√3, cos β = 1/√3 cos γ = 1/√3

Hence, the given vector is equally inclined to axes OX, OY and OZ.