Draw a diagram showing u, v, u + v, and u - v in R2 and use (a) to deduce a result about parallelograms.

Q: ã = (–3, −5) and 7 = (1,4). Represent a + b using the parallelogram method.

A: Use parallelogram method of vector addition.

Q: 02. Approve that the area of the parallelogram spanned by the vectors a= (2, -2, 1) and c= (-8, 8,…

A: Please refer the attached image for complete solution.

Q: Find the area of the parallelogram with vertices P1, P2, P3, P4 P =(1,2,1), P2= (1,1,4), P3…

A:

Q: Compute the orthogonal projection of u onto 7. Use the square root symbol 'V' where needed to give…

A: Orthogonal projection

Q: Describe a method for determining whether four points P, Q , R , and S lie in the same plane?

A: We will show a method for determining whether four points P,Q,R and S lie in the same plane.

Q: Find the area of the parallelogram with vertices A(-3, 3), B(-1, 6), C(3, 4), and D(1, 1).

A:

Q: Find the area of the parallelogram with vertices (1, 1, 1), (–6, 4, 1), (5, 3, 4), and (–2, 6, 4).

A:

Q: Use v=<3/5,4/5>,w=<-4/5, 3/5>, to verify the Parallelogram Law

A: The given vectors are

Q: Find the projection of ū = (2, -3, 1) onto v = = (-3, 0, 1) %3D 3 0, А. B. (3.0. -1) В.

A: u→ =2, -3, 1v→ =-3, 0, 1v→ =(-3)2+02 +12       =9+1|v→| =10    u→  · v→ =2, -3, 1·-3, 0, 1u→  · v→ =…

Q: Find the area of the parallelogram with vertices P1, P2, P3, P4 P1=(1,3,1), P2=(1,2,3), P3=(0,-2,2)…

A:

Q: Which statements about parallelograms are always true or sometimes true?

A: Six properties about parallelogram we need to remember : Opposite sides of parallelogram are…

Q: Determine the projection on AD on AB when A=(0,0,1) B=(1,0,0),C%3(0,1,0)

A:

Q: Use vectors to show that the points form the vertices of a parallelogram. (2, 9, 1), (3, 11, 4), (0,…

A: Given: A=(2,9,1) ,B=(3,11,4),C=(0,10,2),(1,12,5) To Show: Given points form the vertices of a…

Q: Use vectors to prove that a parallelogram is a rectangle if and only if its diagonals are equal in…

A:

Q: Find the area of the parallelogram with vertices K(3, 2, 1), L(3, 5, 3), M(5, 10, 3), and N(5, 7,…

A: To find the area of the given parallelogram, use the vector method which is described as.We know…

Q: 02. Approve that the area of the parallelogram spanned by the vectors a- (2, -2, 1) and c= (-8, 8,…

A:

Q: What is the sum of the coordinates at which the diagonals of ABCD intersect?

A: From the given figure, The equation of the diagonals can be written as :

Q: Find the value of a in the parallelogram.

A: Our Aim is to find the value of a in the paralleogram.

Q: 1)calculate dedy ry where D is a parallelogram with vertices (0,0).(5,-1).(3,1) and (8,0) tip:Use…

A: Here we will use change of variable to find integral If we want to integrate f(x,y) over the region…

Q: how to prove a parallelogram?

A:

Q: Let R be the interior of the parallelogram with vertices (-3, 1), (-1,0), (–1,2), and (1, 1).…

A:

Q: Find mZY in parallelogram VWXY.

A: Given: VWXY is a parallelogram           m∠X=3t-80° and ∠W=t To find: m∠Y

Q: Find the projection of v

A: Here v→=2i^-2j^    and w→=-3i^+j^

Q: What is the resulting diagonalized

A: A quadratic form may be diagonalized by the following procedure: Find a variable x such that x2…

Q: The parallelogram (ABCD) has vertices at A(2,-1,4), B(1,0,-1), C(1, 2, 3), and D, then اخترأحد…

A:

Q: Graph the image of square CDEF after a rotation 90° counterclockwise around the origin. 10 -6 -4 -2.…

A: First of all write the coordinates of points C,D,E,F and then re-write after rotation say…

Q: Use cross products to find the area of the triangle in the xy-planedefined by (1, 2), (3, 4), and…

A: Triangle T spanned by two non zero vectors u,v.  Then the area of the triangle is given     by :…

Q: Find the value of h in the parallelogram

A:

Q: Compute the orthogonal projection of u' onto v. Use the square root symbol 'V where needed to give…

A: We need to find orthogonal projection of u onto v.

Q: Find the area of the parallelogram with vertices P1, P2, F Р, 3 (2,2,3), Р,%3 (2,1,2), Р33(1,0, -…

A: We are asked to find the area of the parallelogram.

Q: Find the area of the parallelogram with vertices at (5, -2), (11, 3), (14, –8), and (20, -3).

A:

Q: Find the area of a parallelogram in 3-space when the adjacent sides are A` =2i`+4j`-3k` and B`=…

A: area of a parallelogram in 3-space when the adjacent sides are A` =2i`+4j`-3k` and B`= i`-2k`

Q: 2. Find the area of the parallelogram that has two adjacent sides u and u. ū = (8, 2, -3) = (2,…

A:

Q: A parallelogram with perpendicular diagonals is a_____?

A: we have to fill in the blanks: A parallelogram with perpendicular diagonals is a_____?

Q: Find the area of the parallelogram with vertices P1, P2. P3, and P4. 13. P: = (2, 1, 1) P2 = (2, 3,…

A: We'll answer the first question since the exact one wasn't specified. please submit a new question…

Q: 5. Extension: Find the coordinates of the intersection of the diagonals of the parallelogram with…

A: To find the coordinates of the intersection of the diagonals of the parallelogram with vertices…

Q: Prove that cyclic parallelogram is a rectangle.

A:

Q: Find the area of the parallelogram with the points A(2, 5, 6), B(4, 8, 10), C(11, 7, 9) and D(9, 4,…

A: Formula: The area of parallelogram = Length of cross product of adjacent sides. Given: Vertices of…

Q: Sketch the following Cartesian products on an x, y-plane. (2) {2, 4, 6} × {0, 1, 2} (b) [0, 2) x {1,…

A:

Q: Let Q be the quadrilateral with vertices (-2,3), (1,4), (3,0), and (-1,–3). Find the area of Q

A: Consider a quadrilateral Q with vertices  A−2,3,B1,4,C3,0 and D−1,−3

Q: e diagonals of the parallelogram nt sides.

A:

Q: Find the area of the parallelogram with adjacent sides u = -7i + 7j + 7k and v = 9i – 6j + 8kļ. Area…

A:

Q: Use the cross product to find the area of the parallelogram whose vertices are (0,0,0) , (0,2,1),…

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Q: Graph the image of parallelogram PQRS after a rotation 90° counterclockwise around the 4 2. -10 -4…

A:

Q: Let P be the parallelogram in the plane with vertices (0,0), (1,2), (1, 1), and (2, 3). Find SSp¤…

A: We need to find integral.

Q: Find the area of the parallelogram with vertices A(-3, 0), 8(-1, 4), C(6, 3), and D(4,-1).

A:

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

A: Solve

Q: Find the area of the parallelogram with vertices A(-3, 0), B(-1, 3), C(5, 2), and D(3, –1).

A: Given:- Parallelogram with vertices A(-3, 0), B(-1, 3), C(5, 2), and D(3, -1). To find:- Area of…

Q: Find x so that (-2, 3), (x, 6), and (8, 8) are collinear.

A: Colinear:  For (-2,3),(x,6),(8,8) are colinear. -231x61881=0