-i-6j. Find 4w+ 6v Let v = -7i+ 3j, and w 4w+ 6v 46 -6j (Type your answer in terms of i and j.) Enter your answer in the answer box.

Q: Let v = - 5i + 5j and w = -i-2j. Find 6v – 8w. 6v – 8w = (Simplify your answer. Type your answer in…

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Q: Find proj,u. v= 7i- 3j + k, u = - 4j + 3k 60 45 j+ -k 59 O A. 59 105 45 15 O B. 59 -i- j+ 59 59 21…

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Q: A = 2 i - 3 j- kand B= i+4 j-2 k, find A x B %3D

A: Given: A→=2i^-3j^-k^ and B→=i^+4j^-2k^, A→×B→=?

Q: Find a.b and ax a = 2i + 3j + 4k a =i+j+k a = -i-j-k Q.I b=i-j+k b=-5i + 2j-3k b= 2i +j (i) (ii)…

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Q: 1 = c, then in terms of a and c find x and y If -y a and 2x+ 112

A: *to find:- value of x & y.

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

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Q: Q.13 If a =i-2j+k, b=i+2j-4k, c= 2i-3j +k Evaluate: (i) (axb).( a x c) (ii) ( ax b )x( a x c )

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Q: Q) find Projs ぶっi+) +3K, 5こてi-j+k

A: Given vector is : a→=i+2j+3kb→=2i-j+k To find the projection of b→ on a→.

Q: Perform the indicated operation, where u = 3i – 5j and v = -7i + 7j. %3D 6u + 2v

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Q: Bnd The lengh and direction of AxB BX Aif+ A=2i, B--3j

A: Since not a particular question asked as per guidelines solution to only first question is given…

Q: (B): If A = 2i +3j - 4k; B = 3i-4j+5k and C=i+j-k, find: (ii) B.C (iii)A. (B+C)and (A + B).C (iv)…

A: Given: A→=2i+3j−4k;B→=3i−4j+5k and C→=i+j−k We know that x1i +y1j+z1k·x2i +y2j+z2k = x1x2+y1y2+z1z2

Q: Q3/A/ If ā = i – 2j + k , b = i + 2j – 4k and č = 2i – 3j + k Find: i) (ā x b). (ā x c) ii) (ā x b)…

A: See the attachment

Q: Claculate the linear combination. (3i+j)-6j+2(j-4i)

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Q: Let v= - 3i + 2j and w = -i- 4j. Find 4v – 7w. 4v - 7w = |(Simplify your answer. Type your answer in…

A: Given v = -3i + 2j and w = -i - 4j.

Q: Find a · b. a = 9i + j, b= i - 8j + k

A:

Q: a. Write (-3, 5) in terms of i and j. b. Given w 6.2i – 3.4j and v = -1.7i + 2.2j, write 3w – 5v in…

A: It is known that a vector is a quantity which has both magnitude and direction. Now, a vector can be…

Q: Find w, where w3 = 1 + i. i? = -1.

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Q: 1 Q.1: Simplify then find AB , BA where: A = |-y²) B = (ix) %3D (ix)

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Q: Obtain the values oF a and b Catb) + j la-b)= (itj)+j° (2+j5)

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Q: Find the quantity: -4v + 3w - 2u if v = -6i - j, w = 7i – 5j, and u = -4i + 10j. Enter your answer…

A: Assume x,y,z∈ℝ2 such that : x=a1i+b1j y=a2i+b2j x=a3i+b3j then x+y+z=a1+a2+a3i+b1+b2+b3j . Suppose…

Q: Find curl (3zi + 4xj+ 5yk). curl(3z i+ 4xj+ 5yk) = ( i )i + ( i )j + ( i )k

A: We will find the curl.

Q: Q2. Find |( ax b ) x clif a =i-2j +k, b=i+2j-4k, c=2i – 3j +k

A: Modulus of cross product

Q: f AABC = ADEF and AB = 15, BC = 20, DE = 3x - 6, hen x = ? %3D %3D

A: GivenAB= 15BC= 20DE=3x-6

Q: (ix) Q.1: Simplify then find AB, BA where: A= (tx) -(-y)|

A: Given A=1-11-1-11 and B=-y2ixix--y2. We have to simplify A and B and then find AB and BA.

Q: If ā = i+j- 2k, b= 3i – 2j + k, č = i+j-2k. Calculate: 1. аx (bxc) 2. || a x c ||

A: Please see the explanation below

Q: Find (a) v xw, (b) wxv, (c) vxv, and (d) wxw. v = i + 3j, w = 2i + 2j + 3k (a) v xw= (Type your…

A: Given query is to find indicated vector operation.

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

A: Solve the left and right-hand side independently left-hand side 2ab+3ab+jb2-6a2 5ab+jb2-6a2…

Q: 3If A= 21-j and B= i+3j-2k Find AxB, (ĀKB).Ā, and (AxB).B.

A: The given two vectors are A=2i-j  and  B=i+3j-2k. Evaluate A×B as follows.…

Q: If a = i+j- 2k, b= 3i – 2j + k, ĉ = i+j-2k. Calculate: 1. ах (bxc) 2. || a x c ||

A:

Q: If j(x) = ax² - 5 and j(2) = 19, what is the value of a? %3D %3D (A) -3 (B) 2 (C) 3 (D) 6

A:

Q: Let v = - 2i+ 3j and w = -i- 9j. Find 7v - 4w. %3D 7v- 4w = (Simplify your answer. Type your answer…

A:

Q: (B): If A = 2i + 3j - 4k; B = 3i - 4j + 5k and C = i + j - k, find: (ii)B.C (iii)A. (B+C)and (A+B).C…

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Q: Find a · b. a = 7i + j, b = i - 6j + k %3D

A:

Q: (B): If A = 2i + 3j - 4k; R = 3-4j+5k and C=i+j-k, find: (UU)Ã. (B+C)and (A + B). (iv) (3A+48).C…

A:

Q: (B): If A = 2i + 3j - 4k; B = 3i - 4j + 5k and C = i + j-k, find: (ii) B.C_ (iii)Ã. (B+C) and (A +…

A: Given that,

Q: If v = 9i - 12j, find I. O 15 O 225 21

A: Given that V=9i-12j

Q: v = 2i - 2j and w= xi + 9j, find all numbers x for which v + w = 8.

A:

Q: 10. a = -2i+ j – 3k, b = 2j – k %3D

A: Given:- a = - 2i + j - 3k, b = 2j - k To find:- aXb

Q: Find a + b, 2a + 3b, lal, and la - bl. a = i + 2j – 3k, b = -3i - j + 6k a + b 2a + 3b = Jal = la -…

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Q: IF A = i-2j-3K, B= 2i tj-K, C= i +3j -2 FIND (LAXB) x C 1 ) ( | A x (BxC) 1) (A • (BXC) (A x B) • C

A:

Q: If ā = i+j- 2k, b= 3i – 2j + k, č = i+j-2k. Calculate: 1. ах (bxc) 2. || a xc |

A:

Q: (B): If A = 2i +3j - 4k; B = 3i - 4j+5k and C = i + j - k, find: (iii)A. (B+C)and (A + B).C (iv)…

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Q: Given that A = –i + 3j and B = 6j + 4k find C = A X B.  a) -22k b) -10i + 42j c) -6i + -4 j + 12k…

A: We have to find C=A×B when, A=-i+3jB=6j+4k We know in cross product, if  A=a1i+b1j+c1kB=a2i+b2j+c2k…

Q: Find a + b, 2a + 3b, Ja|, and Ja - b|. a = 5i + j, b = i – 2j a + b = 2а + 3b |a| |a – b| = %3D

A: Given: a=5i+jb=i-2j

Q: Q3/A/ If ā = i - 2j + k , b = i +2j – 4k and = 2i – 3j + k Find: i) (ā x 5). (ā x c) ii) (ā x 5) x…

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Q: Find a + b, 2a + 3b, Ja|, and Ja - b|. a = i + 5j – 3k, b = -2i –j+ 7k %3D

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Q: Write a in the form a = a-T+ a,N without finding T and N. r(t) = (2 + 8t)i + (t- 2)j – 8tk a =T+[N

A: Solution

Q: If a = i+j-2k, b= 3i-2j + k, =i+j-2k. Calculate: 1. ах (bxc) 2. I| a xc |

A:

Q: Given b→ =3i→-j→ and →qq→ = 6→i−3→j, find b→ + q→. b→ + q→ =  i→ +  →j

A:

Q: Find each of the following. a = i + 4j - 3k b = -3i - j+ 3k (a) a + b |-2 i+ 3 v j+ -3 (b) 2а + 3b…

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Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.