a) Let Q = (2, –1). Express pog as a composition of two reflections.

Q: Write polar form of z=-2 -i |

A: Given that the complex number is z=-2-i. It is known that the polar form of the complex number is of…

Q: Use an equation in polar coordinates to describe the set of points 4 units from the pole

A: Use an equation in polar coordinates to describe the set of points 4 units from the pole

Q: 3- Convert the polar to Cartesian coordinates 47. a. (2,3) c. (-7, 45°) d. (5, 150°) b. (4, п)

A:

Q: Hiwil show that_Viz 3i+6j_and_V=-i-zj have offosite direction.

A: We have to prove that vectors have opposite direction.

Q: Vector v = <1,1,0> and vector w = <-1,-1,sqrt2>. Find the area of the parallelogram…

A: The objective of this question is to find the area of the parallelogram formed by two vectors v and…

Q: What do I do after substituting the expressions for x and y from the rotation formulas into the…

A: The rotation formulas for co-ordinates are if the coordinate is (x,y) then rotate the axis into 90°…

Q: Point P is rotated 210° counterclockwise around a circle with a diameter of 20 meters. If the center…

A:

Q: Give two pairs of polar coordinates for the point (-2,-2\sqrt(3)) , where 0\deg <=\theta <=360\deg .

A:

Q: Write cartesian equation x^2-y^2=1 in polar form

A: Given,

Q: What are the polar coordinates of (3.5, 1.5)

A: Cartesian (x, y)→polar (r, θ)r = x2+y2θ = tan-1yx

Q: Write the parametric equations of the line through the point (1,2,3) parallel to the vector a =.…

A:

Q: For each set of Polar coordinates (r, 0), match the equivalent Cartesian coordinates (z, y). Don't…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the rectangular coordinate representation of the polar coordinate (3, –27/3) |

A: Given, 3,-2π3

Q: Identify the polar coordinate that is not equivalent to (-3, ) o (3, 풍) o (3,등) o (-3, 공) o (3,=)…

A: To find- polar coordinates not equivalent  to given polar coordinates.

Q: Find the rectangular coordinates ( x y, ) of the point in polar form given by ( -3, -3pi )

A:

Q: Find the polar coordinates of the points whose cartesian coordinates are  (i) (-2,-2) (ii) (-3,4)

A: Find the polar coordinates of the points whose cartesian coordinates are  (i) (-2,-2) (ii) (-3,4)

Q: Triangle CDE with vertices C(-1. 3). D(4,2). and E(3, 1): a) translated along the vector (-3. -7) b)…

A:

Q: Convert the ordered pair inrectanqular Coordinates to polar coordinates withr>o and ee [0,27),…

A: We will use the formulas:

Q: Find the polar coordinates when r is positive and when r is negative

A:

Vector Arithmetic

Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magnitude means the length or the size of an object. The notation used is the arrow over the head of the vector indicating its direction.

Vector Calculus

Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.