Consider line L, given below. x = 9 + t, y = 7 + t, z = 5 + 4t, t is in ℝ (a) Find point P that belongs to the line and direction vector v of the line. Express v in component form. P = Correct: Your answer is correct. v = Correct: Your answer is correct. (b) Find the distance from the origin to line L.

Step-by-step explanation:

(a)

The equation of the line, L is given by x = 9 + t, y = 7 + t, z = 5 + 4t; where t is a real number.

In the above equation, if we put t = 0, then x = 9, y = 7 and z = 5.

Hence, the point (9, 7, 5) lies on the given line. We can say it as P.

The direction vector, v is {1, 1, 4}.

(b)

The equation of the given line can also be written as .

The vector, OP = (9, 7, 5), where O is the origin.

The direction vector v = {1, 1, 4}.

The cross product of OP and v is = {23, -31, 2}.

Hence, the distance is ≅9.

step-by-step explanation:

because 1/3 is a fraction. we can tell because there is a divisor symbol between the 1 and the 3. if we were to add 2 fractions together, we would add the numerators, which is the number on top, but not the denominators, which is the number on the bottom

1/3+1/3=2/3

hope this !

answer4 to the second power is 16

and 4 to the third power is 64,