|- ri + 2r3 r3- 4x2 T:R R2, T 21, 22, r3 E R

Q: of the tss plane passes threngh the point Cl,) and contains the line {x=t, Find the 9 =-2, 2= 2

A: According to the given information, it is required to find the equation of plane.

Q: The distance from (9,-6, 7) to yZ-plane is A9 O B. 6 OC. 166 OD. 85 O E.7

A: Distance of a point (a,b,c) from yz plane is as In yz plane x coordinate is zero and y= b and z= c.…

Q: Aforce F: 2i+j-3K is applied to a space craft with Velocig V. 3L-J- Express FasThe Sum of aretor…

A: F = 2 i + j - 3k,v = 3 i -j

Q: Show that three points P , Q, R are collinear (lie on a line)if and only if −→P Q × −→P R = 0.

A: Given: Show that three points P, Q, and R are collinear (lie on a line) if and only if PQ→×PR→=0

Q: Let ABCD be a trapezoid with bases BC and AD. Let 0 = AB n DC be the point at which the lines…

A: Given that ABCD is a trapezoid with bases BC and AD, so BC and AD are parallel.…

Q: In the fiqure is given the trapezoid OABC where OA= 2, OC2 CB=2à Toint H is the middle of AB and…

A:

Q: B) Find the volume of the parallelepiped (box) determined by u, v, and w while: u = 10i + 20j + 50k,…

A: I am going to solve the given problem by using some simple geometry to get the required result.

Q: Fin He ara at tHe surface af the portion oF Hae Plane 2= 5-2X -9y

A:

Q: in the figure below, allbllcand B is the midpoint of AC and E is the midpoint of DF. If B = 2x + 3y,…

A:

Q: the distance between the two skew lines L and L2. L: x=3+3t, y=-1-4t, z=4+2t. L2: x=6+5p, y=3-p,…

A:

Q: If V = Ai - j +sk and Vz= 41+2j +4k, Find Value of (A) so that the length of Projection of V ont Vz…

A: Use the formula for length of projection of a vector onto another vector

Q: Which is the fourth point on plane TSW? T. U O Y

A: A plane is a 2-dimensional surface. It can have an infinite number of points. A plane is composed of…

Q: Which of the following points is at a distance of 5V2 from the origin. * O (0,0) O (5,0) O (5,5) O…

A:

Q: Use the diagram to name al of the points that are not coplanar with points Q. K, and L. N. M OK OM…

A: The two line in the 3D plane is are coplanar if the planes intersect each other or are parallel to…

Q: M and N are the midpoints of sides RS and RT of ARST, respectively. M. R MN = x2 + 7 x(2x + 7)…

A:

Q: 5. In the parallelogram RSTU, the diagonals RT and SU intersect at point W. T. If RW: 2x +2 and RT =…

A:

Q: 15. In the figure, ABCD is a parallelogram. E is the mid-point of AB. F, G and H are points lying on…

A:

Q: 6. ABCD is a trapezoid with median MN. If DC = 3x, AB = 2x2, and EF = 7, find x. M E A

A:

Q: Determine whether the planes below are parallel, perpendicular or neither. 4x + 6y – 2z = 4 2x + 3y…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (c) Consider the parallelepiped with sides: u=(5,-2,1), v=(3, 2, 4), and w=(-6,1,1). V

A: Angle between two vector V and W found using cosine function

Q: Find the barycentric coordinates of p with respect to the affinely independent set of points that…

A: Given 11, 35, 06, p=23 let a=11, b=35, c=06, p=23 Now we write the points in augmented matrix form…

Q: Given: BR and DM Z1E2 23E24 Prove: ABCD is a parallelogram 1 M A

A:

Q: C is counterclockwise around the rectangle with vertices (0, 0), (5, 0), (5, 3), (0, 3) (a) directly…

A: The given integral is: ∮xy dx+x2 dy C is the counterclockwise around the rectangle with vertices…

Q: The diagonals of rectangle QRST intersect at P. Given thạt m/PTS = 34° and QS = 10 , find RP. R P.…

A:

Q: A) Find the angles between the planes 2 x + 2 y + 2 z = 3 and 2 x - 2 y-z = 5

A: Given : 2x+2y+2z=3 and 2x-2y-z=5   To find: Angle between planes   we know that for plane Ax+By+Cz=d…

Q: dA where R is the quadrilateral with the 5: Evaluate RI+y vertices (1,0), (4,0), (0,1), (0,4) using…

A: The solution are next step

Q: B) Find the volume of the parallelepiped (box) determined by u, v, and w while: u = 10i + 20j + 50k,…

A:

Q: Which is the fourth point on plane TSW? S T U Y O Y O W

A: we have, As we can see that a cuboid is given and their vertex are assigned by some letters. Always…

Q: Aa, Bb, and Cc are medians of triangle ABC with centroid at G , if aG = x, what is AG?  a. x b. 2x…

A:

Q: Consider in the following figure: CB = 4CN, NA =5NX and M the midpoint of the AB side. Let CN=u and…

A:

Q: The midpoint of \overline{\text{AB}}AB is M(1, 1)M(1,1). If the coordinates of AA are (-2, 5)(−2,5),…

A: Given, A=(x1,y1)=(-2,5) Midpoint M(1,1) Let the other point B have coordinates (x2,y2)

Q: 2. Use analytic geometry to verify that quadrilateral JKLM is a parallelogran 1C). YA K(-1,1) 2 -2 0…

A:

Q: e. ZBCA and ZACD are a linear pair. е. f. AF and BD are perpendicular. g. EG and BD are parallel. h.…

A:

Q: A) Find the angles between the planes 2 x + 2 y + 2 z = 3 and 2 x - 2 y- z = 5

A:

Q: Use A GHJ, where D, E, and Fare midpoints of the sides. D If HJ = &x – 2 and DF = 2x + 11, what is…

A: Question:- Use triangle GHJ, where D, E, and Fare midpoints of the sides. If HJ = 8x - 2 and DF = 2x…

Q: In ARST, SV bisects y ZRST. Find the coordinates of point T in terms of a. S (a, a) 2a T?, ?) V (2,…

A: Given that, Let ∠TSV=θ and ∠VSR=θ(∵SV is angle bisector)

Q: 23. Using the points P, and P, of Exercise 19, find the point Q such that V(P,Þ.) = 3V(P,Q).

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: T and Q are the midpoints of the legs, SU and RV, of trapezoid RSUV. If UV = 12 and QT = 20, what is…

A: Find RS

Q: The wedge cut from the cylinder, x2 + y? =1 by the planes, z = -y and z = 0. Set up only

A:

Q: E is the mid-point of side AD of a parallelogram ABCD. F is any point of diagonal BD such that 4DF…

A: Given problem is :

Q: Qre Show that The lines Z+3 w/ parals. are malle! 1-3. 3 %3D 9 3.

A: We know that for a line  By applying above formulae for given lines L1 : x-11=y+32=z+33 then…

Q: е. ZBCA and ZACD are a linear pair. f. AF and BD are perpendicular.

A:

Q: In AABC, PQ intersects AB and AC at P and Q, respectively. If PQ || BC, BP = 3, QC= 15, and AQ is 5…

A:

Q: 7. If a -i+3j – k, b = 2i + 4j– 2k and c = d = a+b+ de is parallel to the yz-plane. -i+ 2j + 4k,…

A: given a=i+3j-kb=2i+4j-2kc=-i+2j+4k

Q: E is the midpoint of Ad of a parallelogram ABCD.F is any point of diagonal BD such that 4DF=BD.EF if…

A: Given: 4DF=BD Construction: Draw the diagonal AC. It will intersect the diagonal BD at point H.

Q: 2. Show that AB CD + AC DB + AD BC = 0, given the points are collinear.

A:

Q: 1. Prove that the diagonals on the parallelogram in the figure intersect at their midpoints. (b, с)…

A: Solve

Q: Determine whether the planes are parallel, orthogonal, or neither. 7x - 3y + z = 8 x + 4y + 5z = 1 O…

A: Given query is to find the angel between the plane.

Q: E is the mid-point of side AD of a parallelogram ABCD. F is any point of diagonal BD such that 4DF =…

A: According to Given problem  Given E is midpoint of AD 4DF=BD To prove CG=DG