Let P be a point not on the line L that passes through the points Q and R. The distance d from the point P to the line L is |a x b| d = |a| where a = QR and b = QP. Use the above formula to find the distance from the point to the given line. (5, 2, -1); x= 3 + t, y = 2 - 3t, z = 3 - 3t d =

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A: The given line is 2x+3y=6

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A: Hey we have to find out the distance between the point and the line.

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A: The given equation for the line is,

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Q: x = 5 +t, y = -1, z = 8+ 2t х — 2 у—2 2+1 3 -1 4

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Q: Find the length of the line given by r(t) = ⟨t, 2t⟩, for a ≤ t ≤ b.

A: To determine: The length of the line given by rt=<t,2t> for a≤t≤b

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A: Given two lines, x=2-t, y=3+3t, z=4+3tAnd x=5t, y=1-15t, z=4-15tThat isx-2-1=y-33=z-43=t…

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Q: Find the value of p for which the lines 2x+3y-7=0 and 4y-px-12=0 is perpendicular to each other

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Q: Find the length of the line given by r(t) = (7t,10t) for a sts b. The length of the line is

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Q: Find the distance between the given point Q and the given line. Q(- 9, 1, 10); x= - 5+ 3t, y = 1-t,…

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Q: 2. Find the distance between the parallel lines: L: 2x- 5 y + 3 = 0 ; (Hint: It suffices to compute…

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Q: Let P be a point not on the line L that passes through the points Q and R. The distance d from the…

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Q: Q2) A- Find the distance between the line (y = x + 3 ) and center of circle (x²+y²–2x=0).

A: Topic : Coordinate Geometry  Answer  question no 2 :- sqrt(8) As per our guidelines,  at a time only…

Q: Consider the line y = ax , where a is a positive constant. What should be the x- coordinate of the…

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Q: * the lines 2x • 3y + 1 = 0 and 3x - y - 4 = 0 ke along diameters of a circle of circumference 10 n,…

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Q: The perpendicular from the origin to the line y = mx + c meets it at the point (-1, 2). Find the…

A: The solution for the above solution is as shown below.

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Q: Given that the equation of a line segment from ( x1, Y1 , Z1) to ( X2 , Y2 , Z2) is x = x1+ t(x2-x1)…

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Q: Consider the line y = ax , where a is a positive constant. What is the shortest distance between the…

A: Here we use the general formula for calculating the shortest distance between line and point.