danago
Gold Member
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\overrightarrow r (t) is a vector valued function given by:
<br /> \overrightarrow r (t) = x(t)\overrightarrow i + y(t)\overrightarrow j <br />
if h(t) = \left| {\overrightarrow r (t)} \right|, show that the following is true:
<br /> \overrightarrow r (t) \bullet \overrightarrow r '(t) = x(t)\overrightarrow i + y(t)\overrightarrow j <br />
Now, my first question is: how can a dot product of two vectors possibly be another vector? Isnt the dot product always a scalar quanitity? Am i correct in saying this, and is there a typo in the question, or am i completely missing something?
Thanks in advance,
Dan.
<br /> \overrightarrow r (t) = x(t)\overrightarrow i + y(t)\overrightarrow j <br />
if h(t) = \left| {\overrightarrow r (t)} \right|, show that the following is true:
<br /> \overrightarrow r (t) \bullet \overrightarrow r '(t) = x(t)\overrightarrow i + y(t)\overrightarrow j <br />
Now, my first question is: how can a dot product of two vectors possibly be another vector? Isnt the dot product always a scalar quanitity? Am i correct in saying this, and is there a typo in the question, or am i completely missing something?
Thanks in advance,
Dan.