# Posts by Antia

Total # Posts: 7

1. ### Calculus

Determine the equation of the line through the origin and the point P(10,3) a) r=s(10,3), seR b) x=3t, y=10t, teR c) r=s(-3,10), seR d) r=s(3,10), seR
2. ### Calculus

Could someone please explain on how to do this question step-by-step. Thank you! A bolt is being loosened by a 40 cm wrench. The torque in this situation has a magnitude of 12 J and the force makes an angle of 60 degree with the wrench. What is the magnitude of the force used ...
3. ### Calculus

Two automobiles are travelling on intersecting roads. The first automobile is travelling northeast at 35 km/h. The second automobile begins 7 km north of the first, and it is travelling east at 25 km/h. Assuming that these cars will continue at this rate, will they collide? ...
4. ### Calculus

A line has Cartesian equation 3x-2y+3=0 .Determine a direction vector for a line that is parallel to this line. Could someone explain to me why the answer is direction vector: d=(2,3)
5. ### Calculus

Please verify the answers~ Thank you! 1. Which of the following is the x-intercept of the plane 2x-4z+1=0? a) P(2,0,-4) b) P(0,0,0) c) P(-1/2,0,0) d) P(0,0,1/4) Answer is C. 2. Which of the following is not a direction vector for the plane 3x-2y-z+4=0? a) v(3,-2,-1) b) v(0,-2,...
6. ### Calculus and vectors

Verify please and thank you~ 1. Does the line (x-7)/3=(y+8)/6=(z+4)/5 and the point P(10,-2,1) determine a plane? Answer: Yes, it is a plane because when I substituted the point P(10,-2,1) into the equation, I got the coordinates (1,1,1) If the coordinate became to be (0,0,0) ...
7. ### Math

Use the cofunction identities to write an expression that is equivalent to each of the following expression. a) sin(pi/6) sin=cos(pi/2 - pi/6) What do I do next?