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Qmechanic
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Product used in equations of motion

Suppose $\vec{v}$, $\vec{u}$, $\vec{x}$, $\vec{a}$ and $t$ are final velocity, initial velocity, displacement and acceleration vectors and time.

Here are three equations of motion:

$\vec{v}$ = $\vec{u}$ + $\vec{a}$$t$

$\vec{x}$ = $\vec{u}$$t$ + $\frac 12$$\vec{a}$$t^2$

$\vec{v}^2$ = $\vec{u}^2$ + $2\vec{a}$$\vec{x}$

I wanted to know:

(1)What type of vector product is used in these equations?

(2)How can we obtain time from first equation if $\vec{v}$, $\vec{u}$,$\vec{a}$ are given as division of vectors in not allowed?