The position vector of a moving particle, at time t is given by 7= 2 127- -> 10 t j + 4 (t +2 k (Answers must all be given in exact form.) (a) At what time does the particle pass through the point (8, -20, 32)?
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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If I was given a point, for example, (1,2,3), and was asked to find the exact speed but I was not given a time, how can I solve the speed of this
Ex. the position of the vector that describes the path of an object moving in space. r(t)=2t+4t3j+8k. Find its exact speed at the point (4,32,8)
I have come up with the speed but I don't understand how to find the speed at a point.
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