Video Example) Calculate the following dot products. Solution (1,4) (3,-1) (-7, 4, 1)-(6, 2, -1) 2 (i+2j4k) (2j - k) (1, 4) - (3, −1) — 1(3) + ( )(−1) = (-7, 4, 1) · (6, 2, − ¹) = 1 = . Need Help? (-7)(6) + = (-7)(6) + (i + 2j- 4k) (2j- k) = = ||||| Read It ()(2)+1(−--²-) )(0) + 2() + (-4)(-1)

Q: conjugate of v-1-3 is 1- V-1+3 2- -V-1-3 -V-1+ 3 3 - V-1 2- 4-

A:

Q: 4 r°tan|r (r*)dr 4 5+3 ln cos (r

A:

Q: 3y3 (2y+3) (y-5)

A: The given expression is

Q: 3x: - 2x2 + 2x3 = 0 6. Solve *, + 2x2 – 3x3 4x1 + x2 + 2x3 = 0 = 0. by Cramer's rule

A: Given that  By solving the equations by cramers rule

Q: Expand and simplify to express each equation in standard form. [2, 2, 2, 3, 3, 2] a) y = (x +5)(x +…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: 6 Solve for X 3.6.1 2x-17 = 83 3.6.2 5(x+1)= 2(x+7) 3.6.3 4(x+2) = 16+ 2(x-1)

A: as per bartleby guidelines i can solve only first three

Q: 8) Multiply: (2a-3)(5a + 1) a. 10a²-3 d. 10a²13a-3 b. 7a²-2 e. 10a²-6a-3 c. 7a²-5a-2

A:

Q: frved 4x-5x-15 de

A: we use to solve this integral by using partial fraction method

Q: Add or subtract as indicated 18.   (-2p3 - 5p + 7) + (-4p2 + 8p + 2) 22.  (3y3 + 9y2 - 11y + 8) -…

A: See solution below

Q: 7. Write the given equation below in standard form. x2 +y +12x – 16y = -64 O (z + 6)² + (y + 8)² =…

A: To make in standard form we make perfect square in x and in y by adding or subtracting some Value

Q: Find the intercepts 3x-4y 12 O(0,3)(4,0) (0,-3)(4, 0) (0, 4)(3,0) O(0, 4)(-3, 0) OO O

A: Solving the problem by finding the intercept.

Q: The image of the point (8, 6)(8,6) under a translation is (13, 1)(13,1). Find the coordinates of the…

A: It is given that ; The image of a point  (8, 6) under a translation is  (13, 1). We have to find,…

Q: 5. Find symmetric equations of the line that passes through A(4, -7, -2) and B(-3, 8, 6).

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Q: (7a - 5b + 2c)- (-6a+8b - 4c) (7a - 5b + 2c) - (-6a+ 8b – 4c) =

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Q: Which of the following is one of the correct steps to differentiate y=(3x-2)2(2x-3)3 ?…

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Q: (-4y2 - 3y + 8) - (2y2 - 6y - 2)

A: Consider the given function and simplify the given expression. −4y2−3y+8−2y2−6y−2 Remove the…

Q: Can (4,-2,4) be written as a linear combination of (1,0,1). (3,-4.1) and (4,-6,-2)?

A: We need to see if 4,-2,4 can be written as a linear combination of 1,0,1 , 3,-4,1 and 4,-6,-2 . We…

Q: 3. y = x2 - 2 -3 -2 -10 3D 2 3 X

A:

Q: 2y3(5y3-3y2+6y)

A: It the given that, the multiplication expression,

Q: Which 2 of these 3 equations are the same explain how

A: I From the graph  vertex = ( 4 , 2 )x intercept (2 , 0 ) and ( 6 , 0 )

Q: (8a in simplest form.

A: 8a-3-23To write in simplest form

Q: 2) 3x+ 2y -8 x-y -1

A:

Q: 10) (n + 4)

A: (a+b)2 = a2 + b2 + 2ab (n+4)2 = n2 + 16 + 2 × n × 4             = n2 + 8n + 16

Q: 2x + 5y+Z= メ+y+2z=L X + 53 = 3 22=2

A:

Q: 23 Discussion A multply And simply the resu Apression with positive ex (-2x4) (-(ex -4 √²) Y4) -2 M

A: Here an expression is given as we know that  and also where  is any variable and  are any real…

Q: How would i determine whether the three points are collinear?   (0,-7), (-3,-21), (2,3)

A:

Q: Draw a picture of Cay({2, 5}:Z8).

A: Given,            Cay2, 5 : Z8.

Q: f(2x. (2x + 6)5 dx 0 (2x+6)6+ C 2 H|M 3 12 (2x + 6)6 + C (2x + 6)6 + C (2x + 6)6 + C

A: A detailed solution is given below.

Q: 3(z+5)=12

A:

Q: 3. Find both linear and quadratic interpolating polynomials for the points (-2,-13) , (-1,-3) ,…

A: We take given pairs of points as (x, y) x y -2 -13 -1 -3 1 -1 2 -9 3 17 We have…

Q: Which of the expressions below is not written as the difference of two squares? O A (4x² – 36)…

A: Four expression are : (1) 4x2-3636-4y2 (2) 81-x281-x2 (3) a6b4c2+1a6b4c2-1 (4) 4x6-16y84x6+16y8 We…