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Question
The vector equation of the line `(x - 5)/3 = (y + 4)/7 = (z - 6)/2` is `vec"r" = 5hat"i" - 4hat"j" + 6hat"k" + lambda(3hat"i" + 7hat"j" + 2hat"k")`.
Options
True
False
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Solution
This statement is True.
Explanation:
The Cartesian form of the equation is `(x - 5)/3 = (y + 4)/7 = (z - 6)/2 = lambda`
∴ Here x1 = 5
y1 = – 4
z1 = 6,
a = 3
b = 7
c = 2
So, the vector equation is `vec"r" = (5hat"i" - 4hat"j" + 6hat"k") + lambda(3hat"i" + 7hat"j" + 2hat"k")`
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