Let a = (3, - 5) and b = (-3, k). %3D Find k so that a and b will be orthogonal (form a 90 degree angle). k =

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Q: Let →a=⟨2,5⟩a→=⟨2,5⟩ and →b=⟨0,k⟩b→=⟨0,k⟩.Find k so that →aa→ and →bb→ will be orthogonal (form a 90…

A: For given two vectors, the condition for orthogonality is that there dot product is equal to zero.

Q: What are the coordinates of P(−4, −8) after it has been reflected about the x-axis? (x, y) =

A: The given point is,

Q: Let →a=⟨−5,4⟩ and →b=⟨−4,k⟩ Find k so that →a→ and →b will be orthogonal (form a 90 degree angle).…

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Q: Solve for the orthogonal traysctories x*(3k-x) - ky². = x ? 2

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Q: Find the angle between xy=3 and x²=9y

A: The given curves xy=3 y=3/x    ....(1) x²=9y   ....(2) Solve equation (1) and (2) x2=9×3xx=3y=x/3=1

Q: Find the component form of u + v given the lengths of u andy and the angles that u and v make with…

A: We can solve this as follows:

Q: Convert to rectangular coordinates. Use exact values. (6v3, - ) (x. v) - (

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Q: Use the methods of chapter twelve to find the angle between the lines y = -3 and 5x - 2y = 10.

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: Find the x component and y component of each vector and then add them.

Q: If GK =t+ 21 and IK = 3t - 21, find the value of t in parallelogram GHIJ. %3D I H. K t =

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Q: The angle between u = 3i -j-k and v = -7i – 2j + 4k is

A: u=3i-j-k and v=-7i-2j+4k The formula for angle formed between two angle is, cosθ=a·ba·b

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Q: Find the component form of v if = 2 and the angle it makes with the x-axis is 60°.

A: Component of a vector v is given by vx=vcosθ      and vy=vsinθ ,  where θ is the angle made with the…

Q: Qe Find the angle IF 7-2i-10j - u k , B-2á +2j+ k and ÀxB , CẦ xB) Ã between the m 3 = 2Á +2j+ k

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Q: two gears are adjust so that the smaller gear drives the larger one, if the smaller gear (r=3.5)…

A: Let r1 and r2 be the radius of the smaller and larger gears, respectively.Given that, r1 = 3.5 and,…

Q: Plot A(-2, 4), B(3, 4), C(0, 2), and D(0, –2) in a coordinate plane. Then determine whether AB and…

A: The plot for the given points is shown below Consider the distance formula is, d=x2-x12+y2-y12 The…

Q: Find the value(s) of a making i = 4a i 3j parallel to u = a² i + 33. %3D a = (If there is more than…

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Q: Let →a=⟨3,−1⟩ and →b=⟨−4,k⟩ Find k so that →a and →b will be orthogonal (form a 90 degree angle).…

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Q: Find the angle between a and b where -6a+2b=2i+j-8k and 2a-b=3i-4j+k

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Q: Use the diagram below to find the two angles. Be sure to show all of your work. axt15 3XF1O 3x+10

A: From the diagram we know that (2x+15)+(3x+10) = 180. So,             (2x+15)+(3x+10) = 180…

Q: Capture 2 for owk 532PNG dta Create e Share photos Add to JKLM ~ QRSP Angles K P Sides M R. 1:14 AM…

A: When two figures are similar then their corresponding angle are equal and the ratio of their…

Q: Line QS bisects ∠PQT, and line QP  and line QR are opposite rays.  If m∠PQS = 3x +13  and m∠SQT =…

A: Given: Line QS bisects ∠PQT  i.e m∠PQS=m∠SQT m∠PQS = 3x +13 m∠SQT = 6x - 2…

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Q: Draw the coordinate axes relative to u and v and locate w.

A: Given: u=−21,v=2−2,  w=−u−2v

Q: Cannot solve

A: We have given u = (4, 5) and v = (5, -2)

Q: Find a point Q such that (i) P Q has the same direction as v. (ii) P Q has the opposite direction as…

A: This is a problem related to vector. Same direction means PQ = V and opposite direction means PQ=…

Q: Q2 Find the angle IF A= 2i-10j - 1k and ÀxB between them B = 2Á +2j+ k , CẦ xB) A

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Q: ZA and ZB are supplementary angles. If mZA= (3x- 17) and mZB=(2x-23), then find %3D the measure of…

A: We have to find the measure of the angle B.

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

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Q: Find the value of p for which the point (-1, 3), (2, p) and (5, –1) are collinear. 4 3 2. O O

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Q: What is the relationship between Za and Zb? D a. E В Choose 1 answer: A. Vertical angles

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Q: Wally modeled a window with FGHJ. For what values of x and y is FGHJ a parallelogram? F= (4y + 7)…

A: Solution:-   Given:-F=4y+7G=8x-15J=6x+7H=5y-18The opposite sides of a parallelogramare congruent .…

Q: Draw the coordinate axes relative to u and v and locate w.

A: Given :  u = 1,-1  , v = 1,1 , w = 2u+3v  We will calculate the vector w :    w= 2u+3v    = 21-1 +…

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Q: A(1,2), В(—1, —-1)

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: Given that, ‖u‖=2,  θu=5‖v‖=1,  θv=2 The objective is to find the component form of  u+v.

Q: Find the acute angle between the lines 7x - 4y = 0 and 3x - 11y + 5 = 0.

A: This question is based on straight line.

Q: Find the angle between A-10, + 2a, and B--4a, + 0.5a, using both the dot product and the cross…

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Q: [o 2B Determine the value of a, ß,y when a B -y is orthogonal. a -B

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Find the angle between the lines whose direction cosines are given by the equations 3L+3+5n=0 and…

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Q: find the angle between the planes Sメ4y-21。メーマy ト

A: Given the equation of two planes 5x+y−z=10x−2y+3z=−1

Q: (a) Oppositely directed to v = (3, -4) and half the length of v. %3D W3= (?, ?) (b) Length V5 and…

A: To Find : a) A vector which is oppositely directed to v=<3,-4> and half the length of vb) A…

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: To find the component form of u+v

Q: Find the value(s) of a making i = 7ai – 33 parallel to w = a²i+3j.

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Q: The figure below is a parallelogram. Y 18x + 1 12x 89 ° W Given that m/X = (18x + 1) *, m/XWY =…

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Q: Let →a=⟨−5,−3⟩ and →b=⟨3,k⟩ Find k so that →a and →b will be orthogonal (form a 90 degree angle).…

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Q: Find the angle between y=5x2-3 and 3xy-9x2-x

A: Given y=5x2-3 --- Eq 1 and 3xy=9x2-x      --- Eq 2We know that angle between y1=k1x+b1 and y2=k2x+b2…