Given points M(-1,2,1), N(3,-3,0), and P(-2,-3,-4), find the following a) RMN b) RMN + RMP

Q: Given: (6, 0, –2) and (0, 8, 0). (6,0, –2) × (0, 8, 0) = æi + yj+ zk. Find x +y+ z.

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Q: If AΦB = AB - B find -2Φ3 Select one: a. -3 b. 9 c. -9 d. none of the options

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Q: Q 2) Find the valuc of : Logs - 2 Log, +4 Logs

A: Solve the log function Property of log Log (x) y = y log(x)  LogA+logB+logC= log(ABC)  Logx(x) = 1

Q: Determine: if S = {4t - t2, 5 + t3, 5 + 3t, -3t2 + 2t3} is a basic for P3

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Q: Ifv = [ -2, 4], compute and draw 2v, 1/2 v, and -2v.

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Q: 4x+2y=2 1.) 2x+2y=4

A: The given system of equation is: 4x+2y=22x+2y=4

Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: Find the values of a, b and c if: 21 l6 2a 21 7 2 +2b 2 3 -b

A: When a constant is multiplied to a matrix, then every element of the matrix is multiplied by the…

Q: whats the answer to (2,1);m=2

A: Here we want to find the equation of the line Passing through the point (2,1) and slope m=2

Q: 2 31 Find 24³ – 4A + 5 I. 2. Let A = -31

A: Given: The matrix is A=124-3. To Find: 2A3-4A+5I.

Q: B бх +7 4x -3 A4 Зх + 16

A: Answer

Q: Let a = 5j + k and b - 27 + 3 + 2k. Find - 3ā – 36.

A: We can find the given vectors.

Q: -5,-12, -19,-26, .. A а, 3-5n + 1 %D a n = -7n + 2 а, 3D-7п - 12 a 72 D a, = 7n – 12 %D

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Q: Find the values of c1, c2, and c3 so that c1 (4, –6, 2) + c2(-4, 3, 0) + c3 (-2,0, 0) = (-4, –3,…

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Q: 1) 5=3+ 4a – 5a - 3) 4+3k-6k=-11

A: 1) 5=3+4a-5a 5=3-a

Q: Find +62+7) dr 1(2²³/20 +C

A: Integration  ∫3x2+6x+7dx

Q: C): Find if y=1²-21 +3 and x=21-1.

A: We have to find where and

Q: Find a pair of integers x and y such that 66x + 48y = gcd(66, 48)

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Q: Given w= (-4, 12), s=(-6, -2), and r=(4, 11), %3D find 6r-(w+s). 6r-(w+s) =(| , O)

A: This is related to vector addition sub, and mul

Q: (7, -8) and w=(-4,8), Given v= find v+w. v+w=

A: We know that, A vector in form of V→=a,b is represented as V→=ai^+bj^

Q: Let ā 47- 57 and b - 27 + 3j + 4k. Find - 2ā - 36.

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Q: 4a+4b=0 and A-3b=1,

A: Given equations are:  4a + 4b = 0 a - 3b = 1

Q: Given that B = M-¹AM, check whether B is similar to A and C. -2 A = (²₁2); M = ( 1); C = ( 2² -15) 0…

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Q: 2. Which point is the intersection of x + 2y = 8 and 2x + 3y = 10? a. (-2, 5) %3D b. (-4, 6) с. (2,…

A: The given equations are x+2y=8          …12x+3y=10      …2

Q: Given P(- 2, 0) and Q(2, 5), find PQ. а. (0, 2.5) b. (0, 5) c. (-4, – 5) d. (4, 5)

A: Given- P-2,0 and Q2,5. To find- The value of PQ→. Concept Used- PQ→=OQ→-OP→

Q: Suppose an = -3an-1 a1 = a2 = a3 = 2an-2+ 6an-3 and a4 = -17, a5 = 53, and a = -167. Find a₁, 92,…

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Q: MR=5(a+9) and MP=13a+42

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Q: Find the value of a, b, and c if (a+b)(a+b+c)=21, (a+c)(a+b+c)=35, and (b+c)(a+b+c)=42.

A: First we need to make some equations and the we have to simplify them in order to get a, b and c.

Q: Decide if (1 (5, 7, – 7) + r(1, 5, -4) intersect or are skew. If €1 and €, intersect, what is the…

A: We have two equation of line. L1=1, 2, 3+n2, 5, -6L2=5, 7, -7+r1, 5, -4 Here,…

Q: Determine whether the points (-9, 8, 1), (10, -15, 5), (6, 6, -12), and (8, -4,-3) are O no O yes…

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Q: Write the equation given the points: (-2,4) and (–1,8)

A: Given Points are (-2,4) and (-1,8)