l₁: (x, y, z) = (0, 2, 2) + t(1, -2, 1), tɛR 1₂: (x, y, z) = (0, 1, 1) + s(2,1,-1), SER Which one of the following statements is TRUE?

Q: Calculate (3xy + 4e²) dS, where S is the triangle with vertices (0, 0, 3), (1, 0, 2), and (0, 4, 1).…

A:

Q: A laser beam shines along the ray given by r(t) = (5.1.7) + (5,3,-2) for t≥ 0. The second laser beam…

A:

Q: If r = 3, s = 4, t = 2, then 3r+ 6s - 2t = 4r + s + 2t Select one: True O False

A:

Q: Find u − v, 2(u + 3v), and 2v − u. u =  (6, −7, 8, 3),       v = (−2, , 7/3, −8/3 , −1)

A:

Q: Find JA|, |B|, AB, and |AB|. 1 4 2 -3 0 A = -2 -4 1 B = 1 -1 3 3 1 2 11 (a) JA| (b) |B| (с) АВ (d)…

A: Find the determinant

Q: 1) The values of.x and y for this equation (x - 3) + i (y + 2) = -1 +i3 are: a) x =-2, y = 1 b) x =…

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: a b If p q |x y C r ZI ja+x b+y c+z 5z -r = -4, evaluate 5x 5y -P -q

A:

Q: 2j (5-j3) B) Given that (2a+ jb)+(b-j3a)=- Obtain the values of a and b. (2+j)(1+j4)

A:

Q: Show that 2 (-r × B)² = (r² B² – (r. B)²) And, further that r² B² (r. B)² = B² (x² + y²) - If B = B₂

A:

Q: Are any of these expressions are valid? State your reason for each. If an expression is invalid, you…

A:

Q: True or false: If (a,b) = (a,c) = 2, then (b,c) = 2

A: a, b=a, c=2

Q: If p(5, r)= 2. P(6, r -1), find r.

A: Given : p(5, r) = 2. P(6, r -1)

Q: Find u x v, v x u, and v x v. u = (-6, 2, -7) v = (-2,-5, -3) (a) ux v (b) vxu (c) vxv

A: given vectors

Q: (2 + j)?

A:

Q: The egleation the lome passcong throgh thse porin- (-33) and parallof to 38-48+7=0 is

A: We will solve the problem.

Q: Find u v, uu, ||u||2, (u v)v, and u. (2v). u = , V = (a) u. V 27 (b) 306 (c) 306 (d) (e) u u ||u||²…

A:

Q: Calculate (3xy + 4e) ds, where S is the triangle with vertices (0, 0, 3), (1.0, 2), and (0,4, 1).…

A:

Q: Calculate (5xy + 4e²) dS, where S is the triangle with vertices (0, 0, 3), (1, 0, 2), and (0, 4, 1).…

A: Given

Q: Ex: 5 : R Ex: 5 € → R -5x1 – x2 – x3 T X2 x1 + 4x3 x3 Ex: 5 T -1 Ex: 5 -3

A:

Q: P(+x | +y)? P(X,Y) Y 0.2 P(-x | +y) ? ++ +y +X -y 0.3 +y 0.4 -X 0.1 - P(-y | +x) ?

A:

Q: The solution of 14 - x|>1 is Select one: O A. [-2, 5] O B. ]-00,-5], [-3,00[ OC.J-00,3], [5,00[ O D.…

A:

Q: 21 - 21 +k).(21- 3j- 7k) = %3D 3/4 1/2 3.

A: Let two vectors, be r1 =a1i^+b1j^+c1k^ and r2 =a2i^+b2j^+c2k^  . The dot product of these vector, r1…

Q: (3 + 5y +7{ ) 2+y? 200 + y02 exists if lim r)(0.0)

A: This is a problem of multi variable calculus.

Q: Find det(4). 1 2 2+a 3 3 3+a 3 4 4 4+a,

A: Remark:  Interchanging two rows or columns causes the determinant to switch sign. If we multiply a…

Q: 2. Find u, 3v, v - u, and 2u + 5v. u = (4, 3), v = (3, -7) (a) u 券 (b) 3v (c) v - u (d) 2u + 5v

A: Please find the solution below:

Q: u = ⟨−7, −1⟩, v = ⟨−4, −1⟩, find (a) u ∙ v, (b) u ∙ u, (c) || v ||2 , (d) (u ∙ v)v, and      (e) u ∙…

A: Hey, since there are multiple subparts are posted, we will answer first three subparts.

Q: 3). B = ( 1 2 4 2 :). Find 2A + 2B – 3C -4 and C = (* Given A = - 4 3 2 3

A: Given matricesA = 21243-1B = 104215C = -4213-212A + 2B - 3C = ?

Q: 2j(5-j3) (2+j)(1+j4) B) Given that (2a+jb)+(b-j3a)=- Obtain the values of a and b.

A: Given (2a+jb)+(b-j3a)=2j(5-j3)(2+j)(1+j4) Here we know  j2=-1 So we can write the above equation as…

Q: а) (Зу?)(4y5) (xy²z*)* b) (x²y²z}3 5

A: Note:- according to the company policy we can attempt ?️ only three subpart of a question so please…

Q: c-G) -G ) -( ) c- G ) A-5 0 -: 1 1 1) AT- B +C 2) C

A: given: C=2351 B=2-13321 A=315011 we have to find: 1) AT·BT+C 2) CT