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: Find the values for c1, c2, and c3 to make sure that: c1 (10, 25, 1) + c2 (-15, 5, 0) + c3 (5, 0,…

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

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

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Q: Given that p=3a-b and q=2a-3b, find numbers x and y such that xp+yq=a+9b

A: Given that p=3a-b and q=2a-3bTo find: find numbers x and y such that xp+yq=a+9b

Q: Let a = (- 3, 5, – 5) and b = (3, 5, – 1). Find - 3å + 26. - 3å + 26 =

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

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

A: Solution

Q: Given a = (-5,7) and u = (9, -4), find 3ã + 4ū. 3a + 4ū =

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Q: 5а - 4b 4b = 17 3a + 4b = 23

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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 value of 3y-3 given that -8y-9=7

A: Given,

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: 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: Find, if possible, (a) A + B, (b) A − B, (c) 2A, (d) 2A − B,and (e) B + 1/2 A.

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Q: If w= = 3/4x

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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: 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: 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: :find A+B?C 4 B = -3 2 0. If A = %3D [2 1 4 02

A: A=1421B=-3240C=1002 Now, using matrix multiplication- B2=-3240-3240B2=17-6-128

Q: If A %3D аx + За, and B %3D 5ax + 2а, — баz, find @AB- АВ

A: ANGLE BETWEEN TWO VECTOR

Q: (2, –1, 3) and b (-3, 3, 4). Calculate 2a – 3b and |a – b|. Clearly separate the Let a calculations.

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