Graph the following parametric equations by hand, using values of t in [ - 2,2]. Make a table of t-, x-, and y-values, using t = -2, -1,0, 1, and 2. Then plot the points. Join them with a line or smooth curve for all values of t in [ – 2,2). %3D x=P+1 y= -t+5 Make a table of values. x=? +1 y= -t+5 ral -2 -1 purc 0. esour uccess eOptions Enter your answer in the edit fields and then click Check Answer. sions 1 part remaining Clear All Check Answer P Pearson 12

Q: 2. Determine two different equations (one sine and one cosine) that represent the curve. Explain…

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Q: (a) Find the parametric equation of the line that contains the two points A = (-4,0, –1) and B (3,…

A: (a) Here first we find vector v = AB = OB-OA, then the equation of line will be (x, y, z) = A + t v…

Q: - = + t, y = t? + 5, -2 sts 2 y y 10 -10 -5 -5 5 10

A: In this question, the concept of the parametric equation is applied. Parametric Equation  A set of…

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-4, 0,…

A: This question is based on finding an equation of line as given that line is parallel to given line…

Q: Write the Cartesian equation of the line given by the parametric equations æ(t) y(t) z(t) 5 – 4t -1-…

A: Givenx(t)=5-4ty(t)=-1-6tz(t)=6tIt means thatx-5-4=ty+1-6=tz-06=tcan also be written…

Q: Find a parametric equation for the line through the point (2,3, – 1) and perpendicular to the plane…

A: Given that The point on the line (2,3,-1) and perpendicular to the plane 8x+3y+3z=5 A vector…

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-3, 0,…

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Q: Find parametric equations for the line through (-4,1,1) parallel to the x-axis. Let z = 1. y-z=…

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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.