Can i have the question 5 Knowledge and understanding1- Given the vectors A=[2, 3, -5], B=[8, -4, 3],and C=[-6, -2, 0], simplify or evaluate thefollowingа) А + В+C2- Are the vectores [4,2,6] and [6, 3, 9]collinear? How do you know?(4 marks)b) |B+C|Application3-Given the points A(4, 7, -2) and B(-2, 1, 6):a) Find AB and express AB in terms of i,j,K.?4- Given U=[2,2,3] and v=[1,-3, 4], and w=[6, 2, 1], evaluate the following expressions)Ju x u + u.uCommunication5- ABCD is a trapezoid whose diagonals ACand BD intersect at the point E. If AB=2/3DC, prove that AE = 3/5AB+2/5 AD

Answered: Image /qna-images/answer/edd70c91-a1e2-4500-a209-89e70c104019.jpg

Answered: 5- ABCD is a trapezoid whose diagonals…

Math

Calculus

5- ABCD is a trapezoid whose diagonals AC and BD intersect at the point E. If AB=2/3 DC, prove that AE = 3/5AB+2/5 AD

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Additional Topics In Trigonometry

Section3.3: Vectors In The Plane

Problem 102E: Technology Write a program for your graphing utility that graphs two vectors and their difference...

See similar textbooks

Related questions

Q: (7) Let D be the solid above the cone z = r and below the sphere of radius 2, and let fla, 4, 7) =…

A: To convert the cartesian coordinates into cylindrical coordinates put And the integral will be…

Q: 4. D and E are any two points on the sides AB and AC respectively of the triangle ABC. DG drWn…

A: Given: D and E are any two points on the sides AB and AC respectively of the triangle ABC. DG drawn…

Q: Suppose z = e23"/4 and w = 2e"/4, find 2 and express your answer in rectangular form. %3D

Q: need help solving this. thanks

A: Impotant points: 1. The median of trapezoid is the segment which joins the midpoints of the…

Q: 6. Let ABCD be a trapezoid with bases BC and AD. A line passing through the vertex C and parallel to…

A: Given, ABCD be a trapezoid with bases BC and AD.

Q: ABCD, EF AB a+ E, EF bisects Given : Parallelogram CD at F, Prove: EG Y FG bisects A

Q: In the figure, ray MO bisects ZLMN, MLLMO = (13z- 31)°, and MZNMO = (x + 53)°. Find the following.…

A: We have to find value of x, m<LMO and m<LMN where, m<LMO=13x-31°m<NMO=x+53° Given figure…

Q: In ARST, mzS = 84° and m T = 42°. The bisectors of ZR and s meet at the point V in the interior of…

Q: Use Green's Theorem to evaluate (V1+r) dr+2ry dy, where C is the triangle with vertices (0, 0),…

Q: 5- ABCD is a trapezoid whose diagonals AC and BD intersect at the point E. If AB=2/3 DC, prove that…

Q: R a- In the next shape if the CD = AB, BC = AD Widget RQ is characterized by BD in point E proved to…

A: Two triangle are said to be congruent if all the corresponding sides and corresponding equals are…

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: 2. Given: WX = YZ; ZWXZ = ZYZX Prove: WXYZ is a parallelogram

A: Parallelogram

Q: In isosceles trapezoid WXYZ with bases ZY and WX, ZY = 8, YX = 10, and WX = 20. Find height h (the…

A: Given The WXYZ is isosceles trapezoid with bases ZY and WX . Here ZY =8 , YX =10 and WX =20

Q: In the given figure, ABCD is a parallelogram in which E is mid-point of AD and AM//EC. AM and DC and…

A: Given- In the figure ABCD is a aprallelogram in which E is mid point of AD and AM/EC. AM and DC are…

Q: In isosceles trapezoid WXYZ, XP = 5 in., YZ = 12 in., XZ 1 WX, and WY 1 YZ Find WZ. P. W

A: Given, XP=5YZ=12

Q: 3. Consider an acute angled triangle ABC and a point D on BC. Find points (by construction) E on AC…

A: Given: An acute angled triangle ,inscribe in it a triangle whose perimeter is minimum.…

Q: 6. Use Stoke's Theorem to evaluate fF dr, where F =, and C is the part of the paraboloid z = 4 - x2-…

Q: 2. Given: C is the midpoint of BT AB // RT Prove: BC = TC (or BC = TC)

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

Q: 20. Given: PQ = RQ, PS = RS Prove: QS bisects ZPQR. R

Q: PICTURE

A: We are given that the cone ax2+by2+z2 = 0 and the ellipsoid 2x2+4y2+z2 = 42 intersect and are…

Q: ATWX is isosceles, with base WX RY | WX RWXY is an isosceles trapezoid Given: Prove:

A: We have, △TWX is isosceles, with base WX and a line RY↔ such that RY∥WX Since, RY∥WX therefore…

Q: HJKL is an isosceles trapezoid with bases HJ and LK, and median RS. Find RS, if RS = 1 + 12 and HJ +…

Q: Consider an isosceles trapezoid ABCD with AB || CD. Suppose that mZA = 135° and m2C = 45°. Find m<D.…

A: According to our policy, when multiple questions are asked we only solve the first question. sorry…

Q: 7. Let ABCD be a trapezoid with bases lengths BC = b and AD = a. Assume the diagonal of ABCD…

A: Consider the given information, Let ABCD be a trapezoid with bases Bc=b and AD=a. The diagonals of…

Q: The barycentric coordinates of a point P with respect to the non-collinear points A, B,C is given by…

Q: XydA, D is the triangular region with Vertices (0,0), Cu,0], and Cor) SketchD onthe XY planel

A: 8/3

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: Answer the following: Given ABCD is an isosceles trapezoid with midline EF and diagonals AC and BD.…

A: The non-parallel sides of an isosceles trapezoid is congruent. The midline of the isosceles…

Q: 9. Given the following equilateral triangle with a circular hole as shown, where would the centroid…

Q: 10) Given: Rectangle ABCD with EF perpendicular to BD at G. Prove: AD EB = EG · BD %3D A B FL

Q: ABCDEF is a regular hexagon with centre O. OA = a,OB = b and M is the midpoint of BC. X is the point…

Q: 1. Given rectangle JKLM, with KL 15 and KJ 8. Find KM. 2. Given isosceles trapezoid ABCD, with AD |…

Q: 8. ABCD is a trapezium such that DC 3AB. If L and M are the midpoints of AD and BC respectively,…

A: Take length of AB as x and the DC becomes 3x. Also draw dotted lines from A and B to create four…

Q: 1F M is the centroid of BC, AM= 44, CE= 54, and DM =23, find each missing measure.

Q: 9. Given: Trapezoid ABCD with AB I DC; M and N are midpoints; AB = 6x + 5 and DC = 8x – 1 Find: MN,…

Q: Given: ABCD is a parallelogram DC = BN Z3 = L4 Prove: ABCD is a rhombus B A 3 D

A: Parallelogram: It is a quadrilateral whose opposite sides are congruent and parallel. Rhombus: It is…

Q: 7) Given: Parallelogram ABCD with diagonals AC and BD intersecting at E. Prove: AADE ACBE B.

A: Solution: To Prove △ADE≅△CBE

Q: SSx x dA; R is the portion of the disk x + ys 16 in the second quadrart

A: I use polar conversion method

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

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: A 4. Isosceles trapezoid ABCD has legs AB and CD, and base BC. If AB = 6y- 6, BC = 4y – 7, and CD =…

A: topic - quadrilaterals

Q: Show that LM = 2AB.

Q: The distance from a point S(xo, Yo, Zo) to a plane M: ax + by + cz + d = 0 is given by In PS| d :…

Q: a) Evaluate //(-ri-yj+2: k) n dS, where a is the portion of the paraboloid : = 3r - 3y between the…

Q: The solid that is common to the interior below the hemisphere z = /80 – x² – y2 and above - the…

A: Set up a triple integral.

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

Q: 2) The double integnal | 3x ekdy, whetzeT is the tniang le of VErtices 6,0),c2,0) ond (eti-2),…

A: The double integral is an integral with respect to two different variables the integral of a…

Question

Can i have the question 5

Knowledge and understanding
1- Given the vectors A=[2, 3, -5], B=[8, -4, 3],
and C=[-6, -2, 0], simplify or evaluate the
following
а) А + В+C
2- Are the vectores [4,2,6] and [6, 3, 9]
collinear? How do you know?(4 marks)
b) |B+C|
Application
3-Given the points A(4, 7, -2) and B(-2, 1, 6):
a) Find AB and express AB in terms of i,
j,K.?
4- Given U=[2,2,3] and v=[1,-3, 4], and w=
[6, 2, 1], evaluate the following expressions)
Ju x u + u.u
Communication
5- ABCD is a trapezoid whose diagonals AC
and BD intersect at the point E. If AB=2/3
DC, prove that AE = 3/5AB+2/5 AD

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Technology Write a program for your graphing utility that graphs two vectors and their difference given the vectors in component form
Calculus III-- vectors in space. The magnitude and vector operations. If v = (5, 3, 1) and u= (3, 2, 4) what is 2|| 2v - 5u|| ?
4(2). Please show your calculations & explain steps by steps. Determines the vector equation: A) from the line in R2 that goes through the points (3, -6) and (0, -1). B) of the plan in R3 that contains the points (-6, 1, 0), (4, -3, 5) ret (-7, -2, -4).
How to find set of vectors in set of equations? Make sure it is:(The components of these vectors appear in alphabetical order: (w,x,y,z) ). I have attached an image for you guys to look.
Tensorial Calculus If (Ui) and (Vi) are contravariant vectors, check that (2Ui+3Vi) is also contravariant vectors
Working with vectors Let u = ⟨2, 4, -5⟩ , v = ⟨-6, 10, 2⟩ , and w = ⟨4, -8, 8⟩ . For what value of a is the vector w parallel to y = ⟨a, 6, -6⟩?
Question: Suppose that v1=(2,1,0,3), v2=(3,-1,5,2), and v3=(-1,0,2,1). Which of the following vectors are in span ? Explain your work. A) (2, 3, -7, 3) B) (0, 0, 0 ,0) C) (1, 1, 1, 1) D) (-4, 6, -13, 4) My Comments: I've attempted this problem by setting the vectors equal to the multiple choice answers. I placed them in augmented form and took the reduced row echelon form. However, so far A and B are coming out equal making me conclude that A and B are in span. Am I solving this correctly? Did I get it right? (I've attached my work as well.)
!10 Using two or more complete sentences, describe how you can find a vector parallel to b⇀=⟨−3,2⟩.
Attached is a picture of three vectors. For the three vectors, which statement is true? A + C = B A + B + C =0 B + C = A A + B = C Explain your answer and draw the result of your answer. Thank you.
A quadrilateral has vertices A(−3, 1), B(1, 8), C(6, 7), and D(5, 2). Which kind of quadrilateral is it? Explain using the vectors. If A is the point (3, 4) and B is the point (11, y), find the value of y given that |A⁢B⇀|=10 units. Explain with the aid of a diagram why there are two possible answers. Prove that for any vectors U and V and any scalar s. S(u+v) = su + sv
1.4 Please answer these (a,b,). Explain well your calculations and steps! Thank you!!! A)Expresses the vector u = [-2,5,-1] as a linear combination of v = (1,3,0] and w = [8, -9,3]. B)Checks whether the vectors p = [0,4,-3], q = [-2,-4,1] and r = [-1,6, -3) are coplanar. Either to = [-2,-3,2] and b = [0, -4,1]. C)Determines an orthogonal vector to a and b.
Working with vectors Let u = ⟨2, 4, -5⟩ , v = ⟨-6, 10, 2⟩ , and w = ⟨4, -8, 8⟩ . For what value of a is the vector v orthogonal to y = ⟨a, 1, -3⟩?