Table 1.2 Dot products of unit vectors in spherical and rectangular coordinate systems ar ag ay sin 0 cos ø cos O cos o - sin ø sin e sin ø cos Ø cos e sin ø - sin e ay az cos e

Q: Find the area of rectangular plot if it's length is (5×+8y³) centimeters and it's width is (5×-8y

A: The area, A of a rectangle is given by A=lw, where l is the length and w is the width of the…

Q: Explain the dimension of the row space.

A: The dimension of the row space is called the rank of the matrix. This is the same as the maximum…

Q: Find the Center and radius of the Cirele x?+y²+4X-6y -320

A:

Q: How far is the center equation 10x^2 -y^2 -5y -11 to its focus?

A: Note: It is assumed that the equation, 10x2-y2-5y-11 is 10x2-y2-5y-11=0.   The conics are generated…

Q: What is the cross product method? Use an example.

A: The cross product method, also known as the cross multiplication method, is a strategy used to solve…

Q: 1. a) Convert the following to degrees to 2 d.p 3n Dradians ii) radians b) Convert the following to…

A: Since you have asked a question with multiple subparts, we will solve the first subparts for you. To…

Q: Integrate the expression 1017x² +840xy + 1492y² over the region bordered by the curve 1017x² +840xy…

A:

Q: [61] Diagonalize B = (by finding P and D) or explain why B isn't diagonalizable.

A:

Q: Explain the problems with the Lagrange form of the interpolating polynomial?

A: Lagrange polynomials are used for polynomial interpolation.

Q: Given the equation 9x^2 + 199 + 100y = 108x-25y^2, it is verified that its center (h, k) and…

A: Given the equation 9x2+199+100y=108x-25y2

Q: the smallest possibl product of the two numbers x>= 0 and y<= 0, such that 2x-y=120 is:

A: Let x and y be two numbers such that  x≥0,y≤0, 2x-y=120y=2x-120

Q: Find the polynomial that interpolates the points (-2,4), (-1,0), (2,-1), (2.5,0), (3,1), (4, 2). Use…

A:

Q: midpoint of (2,4) and (2,-7)

A: Mid point of (x1,y1) and (x2,y2)  = x1+x22,y1+y22

Q: Explain Dot Product.

A:

Q: Use the Conjugate Pairs Theorem

A: Given: Use the Conjugate Pairs Theorem

Q: State the expression for the dot product?

A: State the expression for the dot product?

Q: Find the center and reduis step by step 2x^2+2y^2+8x+7=0

A: To find the centre and radius

Q: Identify the focus of (y-3)^2 = 8(x-2)

A: Our Aim is to identify the focus of (y-3)2=8(x-2)-(i)

Q: stitution? I have to use the Column Correspon

A: Is (1,2,3,4,5,6)∈ span( (1,1,1,1,1,1),(0,1,0,1,0,2),(6,5,4,3,2,1)) &gt; A x1 x2 x3 x4 x5 x6…

Q: Why vector of algebra related in maritime industry

A: Vectors are mathematical objects that have both magnitude (size) and direction. In the maritime…

Q: Find the dot product: (-1, 0,1) . (1, 9, 2). Fully reduce your answer. (It should be a whole number)

A: To find The dot product of (-1,0,1).(1,9,2)

Q: Find the distance between (2,4, -1) and (0,8,3)

A:

Q: Find sub spaces row (A), column (A) and null (A). Find rank 103 A=015

A: first we shall find rank of the matrix then find row space, column space and null space