Concept explainers
Finding a Point of IntersectionIn Exercises 33–36, determine whether the lines intersect, and if so, find the point of intersection and the angle between the lines.
Want to see the full answer?
Check out a sample textbook solutionChapter 11 Solutions
Bundle: Llf Multivariable Calculus
- Use vectors to decide whether the triangle with vertices P(3, -1, -4), Q(4, 2, -6), and R(8, 0, -7) is right-angled. O Yes, it is right-angled. O No, it is not right-angled.arrow_forwardSketch the lines in Exercises 45–48 and find Cartesian equations for them. Зп 45. r cos (0 = V2 46. r cos (0 + 47. r cos (0 - =) rem (0 + 3) = 2 3.arrow_forwardFinding the Component Form of aVector In Exercises 65–70, find thecomponent form of v given its magnitude andthe angle it makes with the positive x-axis.Then sketch v.Magnitude Angle65. ,v, = 3 θ = 0°66. ,v, = 4√3 θ = 90°67. ,v, = 72 θ = 150°68. ,v, = 2√3 θ = 45°69. ,v, = 3 v in the direction 3i + 4j70. ,v, = 2 v in the direction i + 3jarrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage