Let L. be the line with parametric equations y=-8-31 ==-1-2t Find the vector equation for a line that passes through the point P-(-6,-8,-6) and intersects L at a point that is distance 4 from the point Q- (-9,-8,-1). Note that there are two possible correct answers. Use the square root symbol where needed to give an exact value for your answer D 0 0+10

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A: Using the dot product equal to zero for perpendicular to the vectors.

Q: Give the vector equation of the line passing through P and Q. P = (5,2), Q = (3, 0) X = + t 00

A: To find the vector equation of the line passing through P and Q.P=5, 2, Q=3, 0

Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: Find the symmetric equation for the line through the point of (2.-5,4)and a vector (3,–1,-3).

A: Given the vector is, 3,-1,-3 And the point is, (2,-5,4). The parametric equation for…

Q: P= (2,-2), Q = (4,0) ∙8-8 t X =

A: Vector equation of a line passing through two points with position vectors P(2,-2) and Q(4,0)…

Q: Find the equation of the plane that passes through the point P(1, 0, 2) and contains the line whose…

A: Hi there, At a time we can answer only one question. So, I have answered first one (#6).

Q: 3. Give the parametric and symmetric equations of the line that passes through the point (4,-3,5)…

A: Hint: A vector v→ is perpendicular to both a→=a1i^+a2j^+a3k^ and b→=b1i^+b2j^+b3k^ if v→=a→×b→…

Q: Find the equation of bisector of the acute angle between the lines 3x – 4x + 7=0 and 12x + 5y – 2 =…

A:

Q: Which direction vector is for the line modeled by cartesian equation 3x+2y-1=0? d (3,-2) d =(-2,3)…

A: The given equation of line is .We have to find the direction vector for the line.

Q: Find a direction vector for the line containing the points (-1, 5, 2) and the point (2, 3, - 1).

A: We have to find a direction vector for the line containing the points -1, 5, 2 and 2, 3, -1. We know…