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The direction cosines of two lines are $l_{1}, m_{1}, n_{1}$ and $l_{2}, m_{2}, n_{2}$ , then direction ratios of the line perpendicular to both lines are

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Important Questions on Three Dimensional Geometry

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 14 - Three Dimensional Geometry>Critical Thinking>Q 39

The direction cosines of a line perpendicular to lines whose direction ratios are

2, 1, - 3

and

1, - 2, 1

are

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 14 - Three Dimensional Geometry>Critical Thinking>Q 40

The direction cosines of a line that are perpendicular to the lines with direction ratios

4, 1, 3

and

2, - 3, 1

are

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 14 - Three Dimensional Geometry>Competitive Thinking>Q 1

α, β, γ

be the angles which a line makes with the coordinate axes, then

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 14 - Three Dimensional Geometry>Competitive Thinking>Q 2

\cos α, \cos β, \cos γ

are the direction cosines of a vector

\vec{a},

then

\cos 2 α + \cos 2 β + \cos 2 γ

is equal to

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 14 - Three Dimensional Geometry>Competitive Thinking>Q 3

(\frac{1}{2}, \frac{1}{3}, n)

are the direction cosines of a line then the value of

n

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 14 - Three Dimensional Geometry>Competitive Thinking>Q 4

If the direction cosines of a line are

\frac{1}{c}, \frac{1}{c}, \frac{1}{c}

, then

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 14 - Three Dimensional Geometry>Competitive Thinking>Q 5

A line

A B

in three-dimensional space makes angles

45 °

and

120 °

with the positive

X -

axis and the positive

Y -

axis respectively. If

A B

makes an acute angle

θ

with the positive

Z -

axis, then

θ

equals

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 14 - Three Dimensional Geometry>Competitive Thinking>Q 6

If a line makes angles

120 °

and

60 °

with the positive directions of

X

and

Z -

axes, respectively, then the angle made by the line with positive

Y -

axis is

The direction cosines of two lines are l1, m1, n1 and l2, m2, n2, then direction ratios of the line perpendicular to both lines are

Important Questions on Three Dimensional Geometry

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The direction cosines of two lines are $l_{1}, m_{1}, n_{1}$ and $l_{2}, m_{2}, n_{2}$ , then direction ratios of the line perpendicular to both lines are