2.) A small rocket is fired from a launch pad 10 m above the ground. This initial position can be modelled by = <0,0, 10 >. The initial velocity of the rocket is given by v, = < 50,0, 30 > m/s. A crosswind = < 0,2.5, -9.8 > describes the %3D blowing to the north produces an acceleration of 2.5 m/s2. If a(t) acceleration of the rocket, determine the velocity function, v(t), and the position function, r(t) for the rocket. How long after launch does the rocket hit the ground? Round to the nearest second. %3D

Q: Solve for w where u = (-1, 1, 0, 1) and v = (2, 3, -1, 0). w + 4v = -3u w3D Need Heln? Re

A: u=-1, 1, 0, 1 and 2, 3, -1, 0w+4v=-3uTo find w

Q: Find u xv, vx u, and v x v. u = 5i + 6k v = 2i + 8j - 3k. (a) u xv (b) vxu (c) vxv 0

A:

Q: Find (a) v x w ,(b) w x v ,(c) w xw ,and (d) . v x v .

A: Given the vectors v=i−4j+2kw=3i+2j+k

Q: Find (a) u x v, (b) v x u, and (c) v x v.

A:

Q: 2 A W C₁R 2 [√(1-W² C₁R₁C₂R₂) ² + [W (C₂R₂ +C₁R₁) ] ² 2

A:

Q: Find u•v

A: As   u = -12,2         v = 1,6   So,  u→=-12 i+2 j        v→= i+6 j

Q: Let u = and v=. (a) Find ||u||. (b) Find u – 3v. -

A: Given: u=1,4,3  and v=2,0,-1

Q: р T T F F F F 9 T T F F T F r T T F T Fill in all combinations of p, q, and r.

A: We are given truth table with missing truth values,So we have to fill the truth values for emty…

Q: Is T linear? If Yes find KerT, where T(x1, x2, x3) = (x1+x3, x1-x3, x2 )

A: Given Tx1,x2,x3=x1+x3,x1−x3,x2 We have to show that T is linear and then find the KerT Let…

Q: Determine the minimal polynomial of 2/3 – V5 ov over 0.

A: That's easy. Have a great day!!!

Q: are linearly independent if and only if k # -0-2-0 v= -6 -1 + k 3 = 5 1 1 7

A:

Q: [AB, C] = A[B, C] + [A, C|B (Proof that)

A: simply &amp; expand each one we get. [AB, C] = ABC - CABA[B,C] = A(BC - CB) = ABC - ACB[A,C]B = (AC…

Q: Find u x v, v x u, and v x v. u = -5i + 3j v = 4i + 5j + 2k (a) u x v (b) v xu (c) V x V

A: The objective of this question is to find the cross products of the given vectors. The cross product…

Q: Find u · (v x w). u = (4, 0, 0) v = (9, 9, 9) (0, 4, 4) w %3D

A:

Q: Find (a) v x w ,(b) w x v ,(c) w xw ,and (d) . v x v .

A: Solution:Given    v=-i+3j+2k              w=3i-2j-kFind:(a)v×w(b)w×v(c)w×w

Q: Find u x v, v x u, and v x v. | = (−1, 5, 4) v = (-5, -4, -7)

A:

Q: Given u x i = (4, 2, 0), find (u – 5v) x (u + 40).

A: Given,          u→×v→=&lt;4,2,0&gt;; then the value of  u→-5v→× u→+4v→

Q: Find u x v, v x u, and v x v. u = (3, -3, -1) v = (-2, –7, -5) (a) ux v

A:

Q: Given u x = (-2,- 1, 1), find (u - 30) x (u + 2v)

A:

Q: Which are the coordinates of F of the image (T(-3, 4) D4)(ADEF) given D(-7,-6), E(-8, 3), and F(2,…

A:

Q: 1 [-1] 2 Let 2 , v2 0 ,V3 = where S = {v,,v,,v,}. %3D 3 Is V4 linear combination of V1, V2, V3?…

A:

Q: Find w such that 2u + v – 3w = 0. u = (2, 7, 5, 0), v = (-3, 1, W =

A: Addition and subtraction of two vectors: Add or subtract the necessary components to add or subtract…

Q: Find u x v, v x u, and v x v.

A:

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.