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Let u = 5i - j, v = 41+ j, and w=i+6j. Find the specified scalar....
Let u = 31 - ), v= 41+j, w = i +5j Find the specified scalar. (4u) .v (4u)•v=0 Enter your answer in the answer box
41 and w be vectors, and 39-42 Properties of Vectors Let u, V, and w be ved let c be a scalar. Prove the given property. 39. u. v = v.u 40. (cu) v = c(u.v) = u • (cv) 41. (u + v). w = uw + v.w 42. (u - v)•(u + v) = | u |2 - 1 v 12
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.
3) Let u a) Treating u, v', and w' as vectors, are the inner products u.v', v'.u, and u.w' defined? If yes, compute them. If any of them is not defined, explain why not. b) Treating u, v', and ' as matrices, are the products uv', v'u, and w' defined? If yes, compute them. If any of them is not defined, explain why not.
QUESTION 10 Find the triple scalar product (u x v). w of the vectors u = 2i - 4j, v= -4i - 6j + 4k, w=9i - 7j+3k ОА 74 OB 140 OC-140 OD 458 ОЕ 74
Find u. (v * w). This quantity is called the triple scalar product of u, v, and w. u=j, v = 2i, w = 2k Need Help? Read It Talk to a Tutor CS Submit Answer With CamScanner onit Answer with
6-7. Given vectors U = -41 +12). V = 5i - 21,W=-31 - 1 6. Find a) 30 - 5.b) |2V - WI 7. a) U. W What can you tell from the result? b) angle between U and keep one digit after decimal, calculator ok) 8. a) Write the complex number -2 -21 in trigonometry form. Be sure to graph when looking for O. (No decimal answer) b) use the result from a) and De Moivre's theorem the find...
Let u = 4 – 7i, v=1+5 i and w= 6 + 7 i. What is u – (v – w)? Simplify your answer, giving it in the form a + bi. U- (v – W) = (To enter i, type i )
Directions: In 25-27, let u = 15-6i .V=-5+ 4i, and w=-2-i. [25] Simplify u + 3v: A) -6i B) 6i C) 30-6i D) 30+6i E) none of these [26] Find the sum of the conjugate of v and the conjugate of w. A)-7-31 B) -7 +31 C) 7-3i D) 7+3i E) none of these [27] Subtract w from u. A) -17-71 B) -17+5i c) 13-5i D) 13-71 E) none of these
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