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Byju's Answer
Standard XII
Mathematics
Direction Cosines
2√3, -2√3, -1...
Question
2
√
3
,
−
2
√
3
,
−
1
√
3
can be the direction ratios of a directed line.
A
True
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B
False
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Solution
The correct option is
B
False
For direction ratios
(
2
√
3
)
2
+
(
−
2
√
3
)
2
+
(
−
1
√
3
)
2
=
4
3
+
4
3
+
1
3
=
3
≠
1
(hence they are not direction ration)
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Similar questions
Q.
Can
2
√
3
,
−
2
√
3
,
−
1
√
3
be the direction ratios of any directed line? Justify your answer.
Q.
Can
1
√
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,
2
√
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,
−
2
√
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be the direction cosines of any directed line?
Q.
Find the direction ratios of a line prependiclar to the two lines whose direction ratios are
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−
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and
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.
Q.
Find the projection of line joining (1, 2, 3) & (-1, 4, 2) on the line having direction ratios (2, 3 , -6) .
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