Let r(t)=cos 2t i +sin 2t j + t k be a vector function. Which of the followings are true for this function? I. Tangent vector is constant at any point. II. Length of tangent vector at any point is constant. I. Tangent vector is (0,2,1) at the point (1,0,0). IV. Curvature at a point (a, b, 4a +b c) is 50 V. Arclength of the curve from a point (a, b, c) to a point (d, e, f) is given by SV5dt
Let r(t)=cos 2t i +sin 2t j + t k be a vector function. Which of the followings are true for this function? I. Tangent vector is constant at any point. II. Length of tangent vector at any point is constant. I. Tangent vector is (0,2,1) at the point (1,0,0). IV. Curvature at a point (a, b, 4a +b c) is 50 V. Arclength of the curve from a point (a, b, c) to a point (d, e, f) is given by SV5dt
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 98E
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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.
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