7) Determine whether the given lines are parallel, skew or intersect. If they intersect, find the point of 4:r(t) = (i – 6j + 2k) + t(i + 2j + k); l½:r(s) = (4j + k) + s(2i + j+ 2k) intersection:

Q: Find the equations in the symmetrical form on the line perpendicular to the lines and passing…

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Q: In the accompanying diagram, trans- versal RS intersects parallel lines +> XY and WZ at E and H,…

A: Given: RS is transversal line that means it intersects two parallel lines (XY and WZ). Therefore…

Q: Find the values of x and y in parallelogram PQRS. PT =y, TR = 4x + 1, QT = 2y, TS = 3x + 12 P X =…

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Q: 1. Show that the lines having the equations 4x- 3y + 12 = 0 and 8x 6y + 15 = 0 are parallel.

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Q: x - 4y 10. dA, where R is the parallelogram enclosed by the lines x – 4y = 0, x - 3x - y

A: Given, the integral                   ∫∫R10x-4y3x-ydA Where R is a parallelogram enclosed by the…

Q: – 2x + 4y -dA, where R is the parallelogram enclosed by the lines 5y Find - r - R - 2x + 4y = 0, –…

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Q: Given the lines l1 and l2; l1 :x = 1+ 3t, y = 2 - 6t, z = 7t – 3, x - 4 l2 : 6 - y 3 (a) Show that 4…

A: Answer

Q: In the drawing, mZ1 MZRSV = 67° and x – y = 17°, find x and y. = x and m2 = y. If %3D - (HINT: m21 +…

A: In the given figure below, m∠1=x and m∠2=y Also given that m∠RSV=67° and x-y=17°

Q: Ex(29):- Determine whether the line and the plane are intersect; if so, find the point of the…

A: Given, The equation of the line   L : x=t, y = t, z =t  Equation of the Plane : PL : 3x-2y+z-5=0…

Q: 18. Find the value of “a" for which the lines ax + 8y + b = 0 and 2x + ay – 1 = 0 are (a). Parallel…

A: Two lines y=m1x+c1 abd y=m2x+c2 having slopes m1 and m2respectively are said to bei parallel if…

Q: Consider the problem of determining, in an Oxy orthogonal Cartesian system, the equation of the…

A: The objective is to determine the value of m for which the line will be tangent to the circumference…

Q: Determine whether the lines h and I, intersect, are parallel, or are skew. 1: n= 4i+3j+ (i-j+6k) 12:…

A:

Q: (a) Find an equation for the line of intersection between the planes x+3y–z= 2 and 2x –y+2z = 5. (b)…

A: Given: Two planes  x+3y-z=2vector a = <1 , 3 , -1 >2x-y+2z=5vector b = <2 , -1 , 2 >

Q: 12 The lines whose equations are 2x + 3y = 4 and y = mx + 6 will be perpendicular when m is %3D 1)을…

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Q: Find the equation of the line given by the intersection of the following two planes: T1:-2x + 4y- z+…

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Q: Show that the lines of equations x=−1+t , y=−2+t, z=3t for t∈R and x=5+s, y=−8+2s, z=7s for ?∈ℝ are…

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Q: find value(s) of k so that the lines described by 3x = 2y+11 and kx = 40 - 6y are perpendicular

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Q: in m imz1 = 7x and mz2 = 5x + 30, lines m and n are parallel when x equals %3D А. 12.5 15 C. 87.5 D.…

A: Since m and n are parallel lines therefore, ∠1=∠2       alternates angles

Q: Given the point P (2, 4, -1) and the line L: x 1+ 2t; y =2-5t; z 2 +3t Find the equation of the…

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Q: 4. Determine whether the pair lines are equal, parallel but not equal, skew, or intersecting. L1:x =…

A: Given:      L1:  x=1-4s, y=3+s ,z=8-6s      L2: x=2+3t ,y=2t ,z=-1-3t   For Parallel test:…

Q: x – 7y dA, where R is the parallelogram enclosed by the lines x - 7y = 0, x – 7y = 9, 5x – y = 2,…

A:

Q: B. FORK is a parallelogram. 6. if FO=3x10cm and RK=19cm. Find X and FO 7. If FO=x²+1 and RK=17. Find…

A: topic- parallelogram

Q: Use the result in Exercise 21 to find the equation of the line that contains (5, – 1) and is…

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Q: If the straight lines ax+by+c=0, bx+xy+a=0,cx+ay+b=0 are concurrent,then prove a3+b3+c3=3abc

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Q: Determine the value of each variable for parallelogram INDY that has diagonals that intersect at P.…

A: Given Data: The length of IP is: IP=3x The length of DP is: DP=6x-2 The length of NP is: NP=3y The…

Q: H.W 2- Determine the points of intersection of the given line and the three coordinate planes. 1. x…

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Q: 4. In the xy-plane, the line.determined by the points (3, a) and (a, 12) passes through the origin.…

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Q: Find the value of p for which the lines 2x + 3y – 7 = 0 and 4y – px – 12 = 0 are perpendicular to…

A:

Q: Consider two paths, Y1 (t) = t(1+i) –-1 and 2(t) = 2+ i(2+t). %3D Do the two path intersect? If they…

A: Point of intersection means the point at which two curves intersect

Q: Determine whether the lines L1 and L2 are parallel, skew, or intersecting. X - Y - 3 z - 2 %3D 3 х—…

A: Given that the two lines     L1: x/1 = (y - 1)/3 = (z - 2)/3    L2: (x - 3)/-3 = (y - 10)/-6 =…

Q: Find the values of the variables for the parallelogram. m21=5y-5 X = = 0.y=0.z=0 (Type integers or…

A:

Q: 4. Determine whether the pair lines are equal, parallel but not equal, skew, or intersecting. Lị:x =…

A: Recall: Given two lines  L1:  x1=a1+b1s  , y1=c1+d1s   , z1= e1+f1s  L2:  x2= a2+b2t  , y2=c2+d2t…

Q: ABCD is a parallelogram, if AO = x+4. BO = 2y-6. CO 3x-4, an DO = y+2, solve for x and y . 2y-6 3x-4…

A: Diagonal of Parralelogram bisect each other with equal length.

Q: (a) Find an equation for the line of intersection between the planes z+3y-z = 2 and 2x –y+2z = 5.…

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Q: Find the values of x and y in parallelogram PQRS. Q PT =y, TR = 2x + 1, QT = 5y, TS= 6x + 13 P S X =…

A: Given that:   The parallelogram PQRS   Both diagonal “PR” and “QS” intersect each other at points…

Q: E. Show that the lines 3x - 5y + 19 =0 and 10x + 6y -50 =10 are perpendicular and find their point…

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Q: Show that D = |d1-d2l Vaz+b2+c2 P+1 represnts the distance between the parallel planes ax + by + cz…

A: Please refer the attached image for complete solution.THANK YOU.

Q: How do you compute |PQ| from the coordinates of the points P and Q?

A: Suppose the coordinates of P and Q  are given as, a,b and c,d. Then to compute PQ⇀,   PQ⇀=c-a2+d-b2…

Q: Use the result in Exercise 21 to find the equation of the line that contains (4, 5) and is…

A: Given- 2x+3y=6 To find- The equation of the line which is passing through the point 4,5 and…

Q: Given the point P (2, 4, –1) and the line L: x = 1+ t; y=2+ 4t ; = =-3t Find the equation of the…

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Q: Determine whether the lines L, and L, are parallel, skew, or intersecting. х — 1 y - 2 z - 12 %3D 1…

A: Given problem :-     To find:-  Intersection point of given lines

Q: Given that the line kx − y = 4 is perpendicular to the line kx + 9y = 11, find the value of k

A: Given query is to find the value of k.

Q: 10 X- 3y dA, where R is the parallelogram enclosed by the lines x - 3y = 0, x - 3y = 5, 8x - y = 5,…

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Q: The diagonals of parallelogram ABCD intersect at E. If EB= 8y – 7 and BD= 12y + 6 , find y.

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Q: 2 Find k such that the lines 4y+7 kx-11=0 and y==x+4 are perpendicular.

A: The two equations are:4y+7kx-11=0y=23x+4

Q: Find the values of x and y in parallelogram PQRS. R PT = y, TR = 3x + 1, QT = 3y, TS = 4x + 13 P and…

A: We can find the value of X and Y using the properties of parallelogram as below

Q: 2x + 3y Find -dA, where R is the parallelogram enclosed by the lines 4x – 4y -- 2x + 3y = 0, 2x + 3y…

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Q: , in general form (x + y2 + Bx + Cy + D = 0), centered a he lines 2x + y + 10 = 0 and x - 2y - 5 = 0…

A: We have to find the equation of a circle whose center is the point of intersection of,  2x+y+10=0…

Q: Use the result in Exercise 20 to find the equation of the line that contains (4, 5) and is parallel…

A: We know the important theorem is that the graph of Ax+By=C is parallel to the graph of Ax+By=D.…