r in component form.

Q: find the domain of the vector-valued function.

A: Given: rt=1t+1i+t2j-3tk

Q: A point A(-5, -3) is translated by the vector v = and then reflected about %3D the line x = 0. Find…

A: Firstly we hae to apply translation then reflection and then find the new point.

Q: 6- Check if each of the following is orthogonal or not: i- A = ii - A = iii - A =

A: We have to check the given matrix  is orthogonal or not

Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: Which of the following represents vector u = (37,-51) in linear form?

A: u=-51i+37ju=37i+51ju=37i-51ju=51i-37j

Q: Find a non-zero vector that is orthogonal to (-7,6,5).   Separate your entries by commas, and…

A:

Q: Let L₁ be the line passing through the points Q₁=(4, -2,-4) and Q₂=(3, 1, -7) and let L₂ be the line…

A:

Q: Briefly describe how co-ordinates can be stored for a simple vector data structure for i) points…

A:

Q: if vector AB=i+7j-4k and B is the point (9,3,5) find A

A: Let A=ai^+bj^+ck^B=di^+ej^+fk^ be twovectors.Then AB→=d-ai^+e-bj^+l-ck^

Q: 9. Show that is a two-dimensional vector. Ai = -x2 X1

A:

Q: Define the term Change of basis?

A:

Q: Suppose that P = is a position vector. What is the equation of the horizontal plane that passes…

A:

Q: 5. Determine a vector equation of the line that passes through the origin and is parallel to the…

A: Determine a vector equation of the line that passes through the origin and is parallel to the line…

Q: response. Justlfy_your ans 1 1 -1 is a linear combination of the vectors y, 2 Show whether or not…

A:

Q: Each week a builder makes an order of doors from a supplier. The doors normally cost $60 each, but…

A: Kindly go through the solution and let me know in case of any doubt or further clarification in the…

Q: Let / be the line through the point with coordinates (-2,1,0) in the direction of the vector…

A:

Q: Determine a vector equation for each line. a) perpendicular to line 4x - 3y = 17 and through point…

A:

Q: Which of the following Is a direction vector for the line through A(5, -3) and B(-1, 2)? Select one:…

A: For the direction vector, we just find out the direction of the given point.

Q: 6- Check if each of the following is orthogonal or not: i- A = ii - A = 1 1 [1 iii - A = 1

A:

Q: The amount of money currently in your bank account is an example of a vector. O True False

A:

Q: Suppose that a parallelogram is bounded at one vertex by the vectors i = |,3 = ,: Find the area of…

A: Area of parallelogram =|u×v| ,where u and v are the vectors which represent the side of…

Q: Find a direction vector for the line containing the points (-1, 5, 2) and the point (2, 3, - 1).

A: We have to find a direction vector for the line containing the points -1, 5, 2 and 2, 3, -1. We know…

Q: Find Vector A and B such that A is parallel to , B is perpendicular to and A + B = if you already…

A:

Q: When is a vector incomprehensible and when is a vector irrational?

A: