Let there be two lines L, and L, inclined at a small angle 60 to one another, such that their direction cosines are (1, m, n) and (1 respectively. Show that (the sign' 'should be read as +81.m+8m+n+Sn)

Q: Show that one of the lines givenby 6x² - xy - 12y² = 0 coincides with one of %3D the lines givenby…

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Q: 9. What are the coordinates of A' after AB is translated by the rule (x, y) → (x + 5, y – 2)? A 4- 3…

A: As per our guidelines I am solving only first problem please repost other question.  9. A' after AB…

Q: and L Determine the angle that the line with equation = (4, -5), te R, makes with the x-axis and…

A: To determine the angle that the line with equation,r=t(4,−5),where t∈R makes with the x-axis and…

Q: 1. The line y - 6 = 2(x + 4) passes through which point? OA (-4,-6) O B. (4, −6) Oc( 4, 6) OD (2,6)

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Q: aluate √y² ds where C is the line segment from (2,1,-4) to (4, 1, 5). C

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Q: Find the angle between lines AB and AC where the point A(4,4,1), the point B(−4,7,7), and the point…

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Q: If the distance between (- 2, 3) and (- 2, a) is 5 units, find all possible values of a.

A: Here given two-point x1, y1=-2, 3x2, y2=-2, a

Q: 2. Sketch the line = (-4,-4) + t(6,8).

A: To sketch the line r=(-4,-4)+t(6,8)

Q: If P = (-1,4) and Q = (4, –1), find the coordinates of PQ PQ =

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Q: Find the obtuse angle formed by the lines x+3y+3=0 and x-y-2=0.

A: Topic - angle between lines We will take absolute value of angle as sign depends Up on which line we…

Q: Find an expression for the exact angle 0 between u and v when = (4,7) and v = (-5, 8). (3, –1, 1)…

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Q: Find the value of X such that and are perpendicular

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