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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
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Solution
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`
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