On the curve `\vec{r}(t)=\langle t,t^2,4 \rangle`, when `t=1`,

T`(1)`=`\langle \frac{1}{\sqrt{5}},\frac{2}{\sqrt{5}},0 \rangle`, and that N`(1)`=`\langle \frac{-2}{\sqrt{5}},\frac{1}{\sqrt{5}},0 \rangle`.

(Note that the curve lies entirely in the plane `z=4`.)

(a) Find the i component of `B(1)`, the binormal vector.

(b) Find the j component of `B(1)`, the binormal vector.

(c) Find the k component of `B(1)`, the binormal vector.

Box 1: Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172
Enter DNE for Does Not Exist, oo for Infinity

Box 2: Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172
Enter DNE for Does Not Exist, oo for Infinity

Box 3: Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172
Enter DNE for Does Not Exist, oo for Infinity