Calculate d d t r 1 t ⋅ r 2 t and d d t r 1 t × r 2 t first by differentiating the product directly and then by applying Formulas (6) and (7). r 1 t = 2 t i + 3 t 2 j + t 3 k, r 2 t = t 4 k
Calculate d d t r 1 t ⋅ r 2 t and d d t r 1 t × r 2 t first by differentiating the product directly and then by applying Formulas (6) and (7). r 1 t = 2 t i + 3 t 2 j + t 3 k, r 2 t = t 4 k
Calculate
d
d
t
r
1
t
⋅
r
2
t
and
d
d
t
r
1
t
×
r
2
t
first by differentiating the product directly and then by applying Formulas (6) and (7).
r
1
t
=
2
t
i
+
3
t
2
j
+
t
3
k,
r
2
t
=
t
4
k
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
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