Let a = (-1, -3, 2) and 6 = (1, -1, - 4). Find a x b.. V

Q: Let a = - 2ỉ - 4j – k and b = 4j + 2k. Find — ả + b. V

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Q: Add. (7y +y- 5) + (5y² - y -6) (7y? + y- 5) + (5y² - y-6) =D (Simplify your answer.)

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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: 3 Let A= (MA-|| _23]~B-[2²] and = 6-9 -4 -6 Find - 2A + 2B. - 2A + 2B=

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Q: Let a = (-5, 5, 4) and 6 = (-1,-4, 5). (a) a × b x (41,-21,24) x (b) b × ā X = (c) (ã × b) × ã = (d)…

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

A: Solution

Q: Express 4 as a linear combination of 72 and 104. Find x and y such that 4=72x+104y

A: We have to express 4 as a linear combination of 72 and 104  That is, we have to find x and y such…

Q: Evaluate, given x=-5 and y = 2 (+x) - (-5y) – (+10y) – (+7x) = %3D

A: The given expression is                                               (+x)-(-5y)-(+10y)-(+7x)

Q: Find u+v-2u. U= = (5, 3) and v = (-3,5) u+v-2u=

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Q: Find å · b for å = (-2, ) and b = (-5, 12).

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Q: Let a =(3, -3, 8), and B = (-7, -1, 3), and = (8, 4, 11). Find ||2ä - 36||.

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

A: Recall the following facts.

Q: Let ā = (– 2, – 1, 3) and b = (- 5, 1, – 4). Find ā · b.

A: Given that , a→=-2 ,-1 ,3 and b→=-5 ,1 ,-4 a→·b→=?

Q: If a = [5,-2,1] and b.= [-1,-3,4], find | -a + 2b |

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Q: If 3x+3y=4 and 3x+8y=9 then what is x ?

A: Explanation of the answer is as follows

Q: 3x 2 - 8xy - 2y 2 ; x = -5, y = -6   A.43 B.129 C.-182 D.237

A: GIVEN 3x2- 8xy - 2y2

Q: If a = [1, 2]  and  b = [2, 7], find a + 2b.

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Q: Do the points (1, 5, −7), (1, 7, −10), and (1, 8, −13) lie on the sameline?

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Q: Find a + b, 2a + 3b, lal, and la - b|. a = (4, –3), b = (-2, 5) a + b = (9,2) (2,9) 2a + 3b =

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Q: If A=(7,8) and B=(2,4,6) find A x B

A: Explanation of the answer is as follows

Q: Suppose A = (-1, –5, –7) and AB= (-5, 14, 4). Then В — (5,-70,-28) help (points)

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Q: Find x if mZ1 2x+ 10 and m22 3x-6. O a. 4 Ob. 24 Oc. 42 Od. 16

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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: Find g(-3). Consider the following. y 4 2 4 -2 -4

A: Since there is a blank dot that means that we need to look for black dot hence the functional value…

Q: If p = (7, 2), then find -2p.

A: If p=7, 2, then to find -2p.

Q: Find a × b if b = (–6, 9, —15) and à = (4, −6, 10) (-3,-2,0) (0,0,0) (1,-1,-1) (-24,-54,-150)

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Q: If a = (2, -1, 4) and b = (8, 2, 1), find the following. a × b = -9,30,12 X bx a = -9,- 30, - 12

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Q: What are the zeroes of y = x + 2x-8? O A.-4, 2

A: Given: y=x2+2x-8

Q: Suppose à = (2,– 2,1) and b = (-3,–1,4). Which of the following is à x b? Select one: (7, 11, 8)…

A: We have to find cross product

Q: If possible, write -3 -z- 2r² as a linear combination of 2 +z + x², 2+ 2x + z and 3+ 3x + 2x2.…

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Q: Find x and y.... 3x + 10y = 64 5x + 12y = 100

A: By solving two given equations we can initially find x or y then using value of that we can find…

Q: 6 8. 6x - 3y = 15 4x – 3y =-5

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Q: Let ā (3, 5, - 4) and 6 = (1, 4, 3). (à − b ) × ( ã + b) =

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Q: (b) Compute the following number (1+cos+isin).

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Q: JIT x²-2y+xz) dydzdx= -2°1 .A 27 4 .B 17 4 .C 27 4 .D 17 4

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