Question

The equation of a line, which is parallel to `2hat"i" + hat"j" + 3hat"k"` and which passes through the point (5, –2, 4), is `(x - 5)/2 = (y + 2)/(-1) = (z - 4)/3`.

Options

• True

• False

Answer 1

This statement is False.

Explanation:

Here, x₁ = 5

y₁ = – 2

z₁ = 4;

a = 2

b = 1

c = 3

We know that the equation of line is `(x - x_1)/"a" = (y - y_1)/"b" = (z - z_1)/"c"`

⇒ `(x - 5)/2 = (y + 2)/1 = (z - 4)/3`