Answer
$ca$ is a vector stretched by a factor of $c$ . If $c=1$ , $a$ is unchanged. If $c=0$, the product is a zero vector. If $c< 0$ , the direction of $a$ is flipped to produce a vector in the opposite direction. To find $ca$ algebraically, distribute $c$ over the components of $a$ : $c(a_1i+a_2j)=(ca_1)i+(ca_2)j$
Work Step by Step
$ca$ is a vector stretched by a factor of $c$ . If $c=1$ , $a$ is unchanged. If $c=0$, the product is a zero vector. If $c< 0$ , the direction of $a$ is flipped to produce a vector in the opposite direction. To find $ca$ algebraically, distribute $c$ over the components of $a$ : $c(a_1i+a_2j)=(ca_1)i+(ca_2)j$
