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Posted: January 25th, 2022
the component form and magnitude of vector QP
1. Let u = <-4, 1>, v = <-1, 6>. Find -2u + 4v.2.Given that P = (7, 16) and Q = (-1, 7), find the component form and magnitude of vector QP .3.Determine whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the triangle.a = 240b = 123c = 2074. Solve the triangle.A = 46°, a = 34, b = 275.The given measurements may or may not determine a triangle. If not, then state that no triangle is formed. If a triangle is formed, then use the Law of Sines to solve the triangle, if it is possible, or state that the Law of Sines cannot be used.B = 111°, c = 8, b = 126.Let u = <-6, 3>, v = <1, 9>. Find u - v.7. Express the complex number in trigonometric form.-2 + 2square root of threei8.Write the complex number in the form a + bi.4[cos (-135°) + i sin (-135°)]9.Find the angle between the given vectors to the nearest tenth of a degree.u = <8, 4>, v = <9, -9>10. State whether the given measurements determine zero, one, or two triangles.B = 84°, b = 28, c = 25
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