Given u and v, find comp, u. u = [3, 7] v = [-7, 2] comp, u Ex: 1.234

Q: Find u3, given uo = 580, uj = 556, u, = 520 and u4 = 385. %3D %3D

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Q: Find a and b such that v = au + bw, where u = (1, 2) and w = (1, -1). v= (6, 9) a = b =

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Q: For what values of h, b is in Span {v1,V2, V3} where 5 -4|, v3: %= 4 ,V2= 7

A: First we transfer this problem into a matrix then apply row reduction.

Q: If ø = Vx + y+ z and ū = 'î + ĵ+ k , then V¢.ũ will be 3 V3 20 2ф

A: Step:-1 Given that ϕ=x+y+z, u→=i^+j^+k^ ∇→ϕ=∂∂xi+∂∂xj+∂∂xk x+y+z ∇→ϕ=12x+y+zi +12x+y+zj…

Q: The coordinate C(2,45°, 25°) is, in RCS. C (1.2817,0.5977,1.4142)

A: The given spherical coordinates of a point is C2, 45°, 25°. The following conversions are used to…

Q: Show that (a) p → (q →r) # p-(-qv r) (p^q) →r (b)[-p^(-qAr)]v (q a r) v (p ar)

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Q: In rhombus R S T V RSTV, R S = 4 x − 2 RS=4x−2 and S T = 3 x + 3 ST=3x+3. Find the length of T V ‾…

A: The given dimensions of rhombus  RS=4x−2 ST=3x+3

Q: If f(r, v) = ry – ry", find 7 + ±),-.y-a

A: The power rule of differentiation states that d dxxp=pxp-1, where p is any real number. Use the…

Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) × r'"(t). r(t) = 2t?i – 5tj + 3

A: Given query is to perform indicated vector operation.

Q: α= (5,3,2) y- (-2,3) 2ri-Yj =? i j

A: Summation of each box needs to performed separately. Opening the summation individually and summing…

Q: Perform the calculations given that u = (9, 8) and v = (5, 7). Find 4u - 5v. ... 4u - 5v =

A: Let's find.

Q: Let X - N(u,0) so that P(X < 89) = 0.9 and P(X < 94) = 0.95. Find u and o? %3D

A: Given : Normal distribution with mean μ and standard deviation σ   We have been provided with 90th…

Q: For which value of x is p = (1,0, x) orthogonal to ā q = (10,3, –2 )? %3D 5.

A: Solution:- step:1      ∗vectors are  orthogonal if the dot product of the  two vector          is…

Q: Q3/ for what value of u will Ju 2 0 16 5 = 0 Ans.: u = 2.0

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Q: Use where A, B, and C are the midpoints of the sides. R. 2. When AB =16 what is QS? 3. When SR= 68…

A: Solution: The objective is to determine the required values

Q: What is the value of u? W 340 Y u = %3D Submit

A: We are going to solve

Q: If "u" varies directly with "v," and u = 6 when v = -7, what is "u" when v = 4? Enter the number…

A: u varies directly with v  u=6 when v=-7 To find u when v=4.

Q: If r(t) = , find r '(t), T(1), r ''(t), and r '(t) ✕ r ''(t).

A: Given  r(t) = &lt;4t, 6t2, 2t3&gt;

Q: Let u (k, –5) and v = (1,–1). If proj,u = ¿v , find k. Answer:

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Q: Given u = 5) and v = (5, -4), calculate u· v.

A: u=&lt;-4,5&gt;, v=&lt;5,-4&gt;

Q: Given that v = and w =. Find

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Q: Given that RT E WX, which statement must be true? O RT + TW = WX + TW RT = 2(RX) %D O WX = 2(RX) %3D…

A: It is given that :  RT ≅WX¯ Since RT and WX are congruent we can say that they are equal in length…

Q: Find proj, u and scal, u by inspection without using formulas. proj, u = OD

A: Vector and scalar projection

Q: Assume that u- v = 8, ||u|| = 1, and ||v|| = 10. What is the value of lu- (9u – 8v)?

A: To get the values, first simplify the expression in such a way that you can use the given values.…

Q: Given F(r, s, t) = r(3t° – 6s*), compute: Frst Submit answer

A: The partial derivative of a function f(x,y,z) with respect to x is a derivative of f(x,y,z) with…

Q: Given u and v as follows, calculate u + v, u – v, and v – u. 2 (a) u (b) и %3D 4 -3- 21

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Q: Given u and v, find proj, u u = [-1,3] v = [-7,4] proj, u = [Ex: 1.234 ), Ex: 1.234

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Q: Find v−w​, if v ​= 4i −3j and w ​= 5i −2j. IIv-wII=?

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Q: Which of these formula will dtan1 u equal to? du 1+u? а. du V1-u2 Ob. du V1-u?

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Q: Evaluate y ds, C: I = t", y = t, - 2<t < 1

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Q: Refer a neither. or Q R U T. W 1. PQ and RS 2. UV and TW 3. RW and vW 4. PU and TU

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: You are given that ||u|| = 1, ||v|| = (би + v) . (и —2v) ? 2 and u • v = -1. What is the value of |

A: Given query is to find the value of indicated vector operation.

Q: If u = (bla +|a|b) and y= (la|b-b|a), evaluate u•v. Hence, interpret the geometrical с. relationship…

A: Here two vectors, vector a and vector b is given. Another two vectors, vector u and vector v is…

Q: If r(t) =  , find  r'(t), T(1), r''(t), and  r'(t) × r ''(t).

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Q: Given V = {(z, y)|z > 0} where (21,1) e (x2, 92) = (21T2, V1 + y2) and eo (z, 9) = (x°, cy), which…

A: Given : V=x, y | x&gt;0 where x1, y1⊕x2, y2=x1x2, y1+y2  and c⊙x, y=xc, cy To find : equation that…

Q: r(0)=, find v(t) and r(t).

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Q: Find a and b such that v = au + bw, where u = v = (7,2) a = b || || = (1, 2) and w = (1, -1).

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Q: Evaluate r'(t), r"(1), r'(t)·r"(t), and r'(t)×r"(t).

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Q: Given u x v =(- 3, – 1, 3), find (u – 30) x (u + 20).

A: Given: u→×v⇀=-3,-1,3to find (u→-3v⇀) ×(u→+2v⇀)we know from the vector cross product rules(x→-y⇀)…

Q: Given u and v, find proj, u. и%3D-7, -4, -9] v = [-8, –6, 9] proj, u = %3D | Ex: 1.234 , Ex: 1.234…

A: We use the definition of Dot Product of vectors, Length of a vector, and Projection of one vector…

Q: CT = C, + l, + U しっ + Cっ for C3 %3D

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Q: If UV = 2p + 28, WZ = p + 43, and XY = p + 57, what is the value of p? %3D V U W Y %3D

A: In trapezium UVXY, Z and W are in mid points of sides UY and VX. So, length of WZ will be the median…

Q: Ex Find lull, , u.v, and d(4,v). U = (-1,1) , v= (7, 9) O d(u, v)

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Q: b(A, B) = tr(AB), where V = M2 (R) and A, B E V. b(p, q) = p(0)q(0) +p'(0)q'(0) + p" (0)ď"(0), where…

A: This is a problem of inner product space.

Q: Given u and v, find proj, u. u = [6, 1] v = [-4, 7) proj, u = [Ex: 1.234 , Ex: 1.234

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Q: Find the pointP such that v = PQ has the components (-9.75, 5.75, – 16.5). Q = (-7.75, 6.75, –9.5)…

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Q: (a) What is the behavior of V(r) as r→0? As r-0, V(r)→ O What is the behavior of V(r) as r→0? As…

A: Given that, the function is Vr=1r6-Ar3. Find the behavior of Vr as r→0 as follows, Apply the left…

Q: If RS = -w + 32, QT = 8w – 13, and PU = 7w + 12, what is the value of w? %3D U T. R

A: we have to find the value of w.

Q: measure

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Q: ind r'(t),r''(t),andr'(t) · r''(t). r(t) = (t2 + 4t)i − 8t2j

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