e curve's unit tangent vector. Also, find the length of the in cos ) j+ (3 sin 31) k, Osts . e curve's unit tangent vector.

Q: (9.) r(t) = (1, cos t, 2 sin t)

A: As per your query the solution of question no 9 is given the next step.

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A: Given curve, rt=9 sin2ti+6 cos2tj+5tk Firstly, find the curve unit tangent vector.

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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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.