Write down the vector equation of the line passing through the points with position vectors p= 3i+7j- 2k, q= - 3i+2j+ 2k. Find also the cartesian equation of this line. The vector equation of the line passing through the points with the given position vectors, using the direction PQ, is r= (Simplify your answer.) m х-3 у-7 z+2 Using the direction PQ, the cartesian equation of the line is (Simplify your answer.) =

Q: Given the point A(2,1,-3) and B(6,-1,-5) write the vector equation and the parametric equations of…

A: Once we get vector form of the equation we can easily write the parametric form of equation of line.

Q: The current of a river is given by the vector (7,5). The direction of the vector is

A: We have to find the direction

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: Give two vectors A=4i+3j, B=5i-2j Find its values and the direction of vector C, which is 2A-B

A: Vector addition

Q: Three vectors are given: A =il+j2+23,B= &4-§2+23, and C= -x4. Calculate: (a) A+B+C. (b) A+B-2C. (c)…

A:

Q: Graph each of the points: A (-2, 6); B (5, 3); C (3,-3); and D (-4, 0). Draw a vector from the…

A: To determine the length and angle made by the vectors, we will use the distance formula and the…

Q: If a point A, the position vector ai + bj lies on the line L, vector equations r = 2i +5j +c(i-i),…

A: To find the value of (a), we need to ensure that the position vector of point A, (ai + bj), lies on…

Q: 2. Given a vector v with initial point P₁ = (2,-5) and terminal point P₂ = (-4, 3), write the vector…

A: Disclaimer:  Since you have asked multiple questions, we will solve the first question for you. If…

Q: perpendicular to (x, y, z) = (1, -2,0) + r(1, -1, 1) through P(1, 3,5) [parametric equations]

A:

Q: If the magnitude and direction of vector ? are 2√5and 153.3°, what are the components of vector ??

A: Simplification of vector

Q: Find the vector equation of the line that goes through the point (18, 11, 20) and is perpendicular…

A:

Q: 3. Give the parametric and symmetric equations of the line that passes through the point (4,-3,5)…

A: Hint: A vector v→ is perpendicular to both a→=a1i^+a2j^+a3k^ and b→=b1i^+b2j^+b3k^ if v→=a→×b→…

Q: Choose the equation(s) which have the following resultant vecto K 1 " Select one or more: C. * a.…

A: Given query is to find the resultant vector.