The angle between the lines whose direction cosines

Direction cosine : Direction cosine of the line are the cosines of the angles between the line and the three coordinate axis. Direction ratio : Any 3 numbers which Questions » Accounting » Auditing » Find the angle between the lines whose direction Questions Courses.

The angle between two lines whose direction cosines are l 1 , m 1 , n 1 and l 2 , m 2 , n 2 is —. Last updated on Mar 30, Get Started. SSC Exams. Banking Exams. Teaching Exams. Civil Services Exam.

The angle between the lines whose direction cosines

The angle between the lines whose direction cosines are proportional to 1,2,1 and 2,-3,6 is. Write the angle between the lines whose direction ratios are proportional to 1, -2, 1 and 4, 3, 2. Find the acute angle between the lines whose direction ratios are proportional to 2 : 3 : 6 and 1 : 2 : 2. Find the angle between the pairs of lines with direction ratio proportional to: 2, 2, 1 and 4, 1, 8. Consider the following relations among the angles alpha,beta and gamma What is the angle between the lines whose direction cosines are propor What is the locus of points of intersection of a sphere and a plane? What is the equation of the plane passing through point 1,-1,-1 and The equation to sphere passing throrugh origin and the points -1,0, If a line makes the angles alpha,beta,gamma with the axes, then what i

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The angle between two lines whose direction cosines are l 1 , m 1 , n 1 and l 2 , m 2 , n 2 is —. Last updated on Mar 30, Get Started. SSC Exams. Banking Exams. Teaching Exams.

In analytical geometry, the directional cosines also known as direction cosine of a vector is defined as the cosines of the angles between the three coordinate axes and the vector. In this section, we will first learn about the position vector of a point and direction cosines and then finding the angle between two lines. Position vector simply denotes the position or location of a point in the three-dimensional Cartesian system with respect to a reference origin. Taking direction cosines makes it easy to represent the direction of a vector in terms of angles with respect to the reference. The coordinates of the point P may also be expressed as the product of the magnitude of the given vector and the cosines of direction on the three axes, i. Where l, m, n represent the direction cosines of the given vector on the axes x, y, z respectively. We can clearly see that lr, mr, nr are in proportion to the direction cosines and these are called the direction ratios and they are denoted by a, b, c. Let L 1 and L 2 represent two lines having the direction ratios as a 1 , b 1 , c 1, and a 2 , b 2 , c 2 respectively such that they are passing through the origin.

The angle between the lines whose direction cosines

Direction cosine is the cosine of the angle made by the line in the three-dimensional space, with the x-axis, y-axis, z-axis respectively. Direction cosines can be calculated for a vector or a straight line in a three-dimensional space. It is the cosines of the angle made by the line with the three axes.

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