if v=3i - 4j and w= xi +9j, find all numbers x for which v+w=7
Find the angle between v and w. v= - 31+ 8j, w= w=3i+9j The angle between v and wis (Do not round until the final answer. Then round to the nearest tenth as needed.) Enter your answer in the answer box
Let u = -71 - 9j and v = -3i +3j. Find ū+v Select the correct answer below: O 4i – 12 O 4i +12j O 10i+6j 0 -101 - 6j
Given vectors ü = (-1,5), i = 3i – 4j, w = (2,7), find: (2pts each) a. 3ū + 20 - w b. llull c. A unit vector in the direction of v d. (ü + ). W e. The angle between ï and W. Write your final answer in degrees rounded to 3 decimal places.
Find the complex numbers w and z which solve the system of equations (-1+i)w + (-2-3i)z = -12 - 3i (-2+3i)w +(-1+i)z = 0 +10i (Hint: Check your solution by substituting back in)
Let A = 3i + 4j and B = 5i ¡ 6j. (i) Find A + B, A ¡ B, 2A + 3B, and C such that A + B + C = 0: (ii) Find A, the length of A and the angle it makes with the x-axis.
Use the given vectors to find u. (v + w). u = -21 - 9j, v= - 21 + 8j, w = -5i + 5j A. - 35 B. - 103 C. -68 OD. 37 Find the unit vector that has the same direction as the vector v. v = 24i + 10j The unit vector that has the same direction as the vector v is . (Simplify your answer, including any radicals. Use integers or fractions for any nume
6-7. Given vectors U = -4i +12, V = 5i - 2j, W=-3i- 6. Find a) 30 - 5V._b) 2V - W'. 7. a) UW What can you tell from the result? b) angle between U and V (keep one digit after decimal. calculato
Given v = 10i - 4j and w=-i-. a. Find prow b. Decompose v into two vectors V, and v2, where v, is parallel to wand v2 is orthogonal to w. a. projwv = (Type your answer in terms of i andj) b.vn - (Type your answer in terms of i andj) v2 = (Type your answer in terms of i andj) Enter your answer in each of the answer boxes 103 7/317
Find a so that the vectors v=i- aj and w= 10i - 4j are orthogonal. a = (Type an integer or a simplified fraction.)
Given v = 10i - 4j and w=1- ), a. Find projwv. b. Decompose v into two vectors V, and V2, where V, is parallel to wand v2 is orthogonal to w. a. projwv= (Type your answer in terms of i andj.) b. Vo = (Type your answer in terms of i and j.) V2 (Type your answer in terms of i andj.)