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.
The rocket is launched at time
t = 0
with
r (0)=2i-6j+4k. If the initial velocity of the rocket
is
v (0)=4i+1j+10k
and acceleration of the rocket at the time ? is given by
a(0)= t2+ t cos t j+16e-4t k , then find the
r(t)
, which describes the rocket
trajectory
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