Compute Juxv if |u| = 6 and |v| = 7 and the angle between u and v is x.

Q: If i = 5+2, à = x - ỷ and b = j – z , show that a =

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Q: Ju ди ax2 at u(0,t) = u(10,t) = 0 u(x, 0) = x where temr

A: WE use separation of variables i.e to assume solution of form X(x)T(t) to find two ODE's .Solve the…

Q: Express the following: as a linear combination of u = (2, 1, 4), v = (1, -1, 6) and w = (2, 2, 8).…

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Q: If u = 7i - 2j+3k and v = -i+3j + 5k then Proj,v is

A: Given, u=7i-2j+3kv=-i+3j+5k

Q: 7. Compute the angle between i+k and - k.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: A is symmetric

A: In this question, we have to check the matrix A is symmetric or not.

Q: The projection of u onto v is given by projvu = ________.

A: The projection of u onto v is given by projvu = compvu.

Q: Let u= bi + 3; and V=-2i+4j and W= 4i-3} Mon) puid

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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: Assume X, Y CU. Prove that (U \ X) U (U \ Y) = U \ (X n Y)

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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: If|u|= 3 and|v|= 6, find|u×v|and whether u×v points into or out of the page.

A: If|u|= 3 and|v|= 6, find|u×v|and whether u×v points into or out of the page.

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

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Q: For u=⟨4,−2⟩ and v=⟨−5​,5⟩​,find u•v.

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Q: and

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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: Find |?|, |?|, |2?|, 1/2v, |u+v|, |?| − |?|. ? = 4i + j,    ? = 2i − 3j   |1/2v| =  |u+v|= |u-v|=…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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: 3. If U and V are such that u; ='x; – A, v; =y, - B, then Cov (U, V) is :

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Q: Let fx,y) = xcos(xy)+ y'. Which of the following is true?

A: Given function - f(x,y) = xcosxy3+y7Differentiating with respect to x - fx=ddxxcosxy3 + ddxy7fx =…

Q: i. Find proj,u and projų v u = (2, –2), v = (3,1)

A: Given,  u=(2,-2) ,  v=(3,1)    We have to find vector projection of v on u

Q: 13. Given u = and v = , find: a) u + v b) 2u - v c) Ju|

A: Given that u= &lt;-3, 5&gt; and v=&lt;4, -7&gt;   a) u+v = &lt;-3, 5&gt; + &lt;4, -7&gt; = &lt;-3+4,…

Q: 8. Show that, for u, v E R³, ||u|| ||| = (u - v)² + ||u x v||².

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Q: Find r, s, and t so that (a) z = 1 2 x, (b) z + u = x, (c) z − x = y.

A: Given  And z+u=x and z-x=y. We need to find the value of r , s and t.

Q: Let u= and v= identify 3u+v???

A: We have to identify 3u+v for the given vectors: u=2, -3 and v=4, -1. Finding 3u: 32, -3=6, -3

Q: Find the angle (in DMS) between the line L1 through the points P1(2, 1, 4) and P2(–1, 4, 1) and the…

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Q: Compute |u · v| if |u| = 3 and |v| = 4 and the angle between u and v is 2π/3.

A: Given that u=3v=4 The angle between u and v is 2π3 The dot product of u and v is given by u·v=uvcosθ

Q: let v = (1, 3, −2) and w = (2, −1, 4).  Compute the angle between v and w

A: Given: v = (1, 3,−2) and w=(2,−1,4).

Q: 11. Given u %3D 2 + 3і, v %3D 1 — 2і, w - -3— бі, find lu +vi. и+2v, и — Зу + 2w, uv, uvw, lu/vl.…

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

Q: (6) If w = f(u, v), where u = x + y and v = x – y, show that = 2 ди

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Q: 15) Find u x v for u = and v = .

A: Given vectors are, u = -7, 1, 12 = -7 i^ + j^ + 12 k^v = 2, 2, 3 = 2 i^ + 2 j^ + 2 k^

Q: Express the following as a linear combination of u = (4, 1, 6), v = (1, -1, 5) and w = (4, 3, 8).…

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Q: Prove that dv du 2 – u? + v² 18

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Q: let u= compute a) d.) angle betwen u and V

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Q: Find (a) u ∙ v, (b) v ∙ v, (c) ||u||2, (d) (u ∙ v)v, and (e) u ∙ (5v).u = (−1, 2), v = (2, −2)

A: u→=-1,2v→=2,-2a u→.v→=?     u→.v→=-12+2-2           =-2+-4          =-6u→.v→=-6

Q: matrisinin özdeğerleri aşağıdakilerden hangisidir? o {,-3} po {0,1} 9o {2,-글} {2, –}} d) o {2, –2}…

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Q: let u=(3,4), v=(2,-3) and w=(2,-2)  find (u*v)w

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Q: The diagram shows a vertic with W, Y , and Z as points the flag (X) from Z given X.

A: To find the angle of elevation.

Q: Express w as a linear combination of u and v: ? = (4,1), ? = (−2, −1), ? = (2, −2)

A: Let w = (4,1) u = (-2,-1) v=(2,-2) we can write this as: u-21 + v2-2 = 41   -2u + 2v = 4 u - 2v = 1…

Q: a?u at (r,y)=(2,2), when Evaluate u = In vr² + .

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Q: Suppose u, VE Vand ||u|| < 1 and ||v|| < 1 . Prove it: V1- ||u||?/1- ||u||2 <1- (u, v)|

A: Suppose u, v∈V and u≤1 and v≤1 We have to prove that 1-u21-v2≤1-u,v Here, we have  u≤1 and v≤1 Also,…

Q: Is it true that if x is orthogonal to v and w, then x is also orthogonal to v − w. Provide example

A: Consider that x is orthogonal to v and w To check is it true that x is also orthogonal to v − w.   a…

Q: Let z, w e C. Show that |2 + w? + |z – w? = 2(|2|2 + |w?). %3D

A: We will show the given result.

Q: (6) If u, = x-Pa(x)Pn-1(x) dx, show that nu, + (n – 1)u,-1 = 2, | and hence evaluate u.

A: To get the desired result first we will the recurrence formula for pn(x). Then after simplification…

Q: When u × v = 0 and u ∙ v = 0, what can you conclude about u and v?

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Q: If u = -2i - 2j and v = 6i + 7j, find u - v.

A: We can solve this as follows: