If a =   2, −1, 4   and b =   2, 2, 1  ,  find the following. a × b =

Q: If 2sinθ+6=−√3+6, where 0≤θ

A: The objective is to find the value of θ.

Q: Find a + b, 2a + 3b, Jal, and |a - b|. а %3 (4, -3), ь - (-2, 5) a + b = (9,2) 2а + 3Ь %3D (2,9) |a|…

A: Here given as

Q: Suppose A = (-8,7) and AB = (4, –3). Then B = help (points)

A: Find the vector if the direction of AB. Is given

Q: Find the solution for a,,= -3a,-1-3an-2- an-3 with ao = 5,a1 =-9, a2 = 15. %3D

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Q: (x? — 2х — 3) у" +ху'+4у %3D 0; хо — 4, Хо 3 — 4, хо — 0 Хо — 4, хо — - 4, хо — 0 |

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Q: Find AB and BA of the Attached?

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Q: If e5z 26, then x =

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Q: If x=y, then 6+4(x-y)=

A: Here the given condition is x = y.That is, the value of x and y are same.

Q: 5 X, + 3 X, + 2 X, = 11 4 X, + 8X, — 3 х, — 9 5 X, + 3 X, + 2 X = 15

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Q: | If 4 1 Au 3 and Av = -3 -3 then A(2u + 30)

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Q: ). Find T(1, 3) and 7(1, -5).

A:

Q: If a=[3,1,-2] , b=[-5,7,0], and c=[4,-6,0] find A. 3b x 6c B. (a x b) x c

A: a→×b→=ij^ka1a2a3b1b2b3

Q: Find a+b, 2a + 3b, lal, and ja - bl. a- (3, -4), b- (-5, 2) a +b 2a + 3b ja - b|

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Evaluate for r=(3,5) , s=(-6,4) , and t=(6,-1). 2r-(s+t)=

A: Recall the following facts.

Q: ,find : (a) 2A , (b) 2A - В 1 2 -3 -2 A 2 1 4 23 4 2 1 6 (b) -2 4 4 2 5 6 (b) 0 1 (None

A: Given information : A = 1221  B = -3-242

Q: Find a · b if a = (-2, –4, –4) and b = (-3, 4, 3)

A: Given,             a=<-2,-4,-4> and b=<-3,4,3>To find : a·bWe know that,            The…

Q: Let A = (1, 0, 2) and B = (6, -2, 3). Find projaB.

A:

Q: Find (1 + i√3)6

A: Given: 1+i36 we know that cosθ+isinθ=eiθ                              ..1 now, simplifying given…

Q: If e5z 24, then x =

A:

Q: If a = (-2, 10,-5) and b= (2,-3, 6), find a-b. O a. -64/271 O b.-64 C. -128 O d.-32. O e.-21

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Q: Find AB when A(-4,-1) and B (-2,11)

A: Given the coordinates of A is (-4,-1) and B is (-2,11) We need to find out AB

Q: Find x and y if (x-y, x+y) (6, 10)

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Q: If, 12C, = 12C--2 then r = 12Cr-2 then r% = %3D Enter your answer

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Q: 3 – x if 5x - 3 if I > 1

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Q: If 2 2 5 A- and B-1 3 3 -2 find (AB)-!.

A: Consider the given matrix as A-1=3213 and B-1=253-2

Q: x y), if x and 12 -180

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Q: Replace R, by (-5)R, +R2. 14 3 -2 5 1 4. 8. (- 5)R, + R2 -25 2. (- 5)R, + R2 =

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Q: Find Jul, Ivl, 12u[, , lu + vl, lu - vl, and Jul - Ivl. u - (1, -4), v= (-10, –10)

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Q: -1 -2 -6 A = 9 det A = Ex: 5 2)

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Q: If x > 4 and y > 4, then x + y > 8.

A: Since, we have been given that:-x>4 -(i)y>4 -(ii)Our Aim is to Prove that:- x+y>8

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: Let an+2 = 4an+1+-2an. If ao =2 and a1 =3, what is the value of a4?

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Q: Find (if possible) a. AB and b. BA 6 -2 2 7 A = B = -8 3 0 3

A: A has 2×2 ,  B has 2×2 matrix, output AB and BA  will have 2×2 matrix, thus matrix multiplication…

Q: If -3 2 -3 A 4. and B -3 -2 3 3. 1 -3 1 then ЗА - В-

A: Given matrix is A=−3−3−2−443−331 and B=31−3−3−200−31 We have to find the 3A-B Since,…

Q: If 5(2r - 1) - 35, then x

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Q: If Ix I > 4, then x 2 > 16.

A: True or False if x>4, then x2>16

Q: Suppose B = (-8, –9) and АВ — (-16, –16). Then || A =

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Q: What is the mode of 1,1,1,1,2,2,2,3,3, and 4 ?a. 1b. 2c. 3d. 4

A: Given data  1,1,1,1,2,2,2,3,3, 4 The mode of a set  of data is the value in the set that occurs most…

Q: Suppose a > 0, (a, 42) = 6 and [a, 42] = 420. Find а.

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Q: Evaluate: thr (,5_ 3) ² dr A 2(r-3) 3 B +C 3 2(,5– 3) ? +C 15 4nr D 4.

A: This question is based on Indefinite Integral.

Q: write linear Combination as 4 V.,Vz, V3 where (1,5,4),V.=(1,3,-2),Vz=(2,7,-1), Va= (1,6,7) V=

A: Given V=(1,5,4), V1=(1,3,-2), V2=(2,7,-1) and V3=(1,6,7)

Q: 4. By using the product 2a? + 4a. Make a relationship between the younger sister and the older…

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Q: Find å + 5, 2å + 35, läl, and |å – | for å = (5,– 12) and 5 = (-3,–6).

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Q: > an-1(x – 2)" + - na,(x – 2)"+1 n=1 n=0

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Q: Find a3, a4, and as. ə = 3, a, = 6, a, =,-1+ a, - 2) 1/9 12 as 15 xxx

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Q: Evaluate ffxcos² (y) d4, R=[-2,3]× [0,1] R 5π/8 3π/4 5π/2 O 2/3

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.