- 3 7 1 h of h which makes the vectors linearly depe ma to separate answers as needed.)

Q: The vector z = (2 + 2i) ( -V3 + i) lies in * the

A: The vector equation is z=2+2i-13+i.

Q: find a vector b so that the equation A = b has infinitely many solutions?

A:

Q: 4. Let u = and w = . Find the resultant vector 4u + 5w.

A: We will find the resultant vector.

Q: Given that = (1, 2. 3) and = (4. 0. -4) find the vector where %3D !3! 2 u +v- w +37 = 0

A:

Q: 2.Show that the following Vectors form a Wasis for Ps. 4.ct-11,(t-1,(t-1)?

A: Given that the vectors are 1,t-1,t-12,t-13.It is required to show that the following vectors form a…

Q: 8 Find a vector of length: (2) (+) 3 a 10 units which is perpendicular to (a -4 b 3/2 units which is…

A:

Q: التاريخ 5.1 1 1 If the vector [42] An with the straight Piecel the end point?

A:

Q: 2 7 Consider the vectors: u = 1 v = -1 w = -2 2 Express W as a linear combination au + bv. What is…

A: follow next step

Q: -Let 1+t and tet? be vectors in P. write the vector plt) = S+ St+2t² as the lineor combination of P,…

A:

Q: Given the point D(−4, 5, 3) and A = yax + (x + z)z ay, express the D and A in: Kindly answer in…

A:

Q: 16 Jlg wo vectors ñ and m are said to be orthogonal if ħxñ=0 ulgo O ihs o

A: Two non-zero vectors are said to be orthogonal when (if and only if) their dot product is zero.

Q: EX/ Find The normal vector to A = 2i-3j+4K, B =i-2j+ 5K %3D ĀxB =Ñ =1? ĀXB=N -3 4 = -7i-6j-K %3D - 2…

A:

Q: 4. Find the vector equations for the line of intersection of the following planes: 2x – y – 5z = -14…

A:

Q: 5. (a) Find two vectors of norm 1 that are orthogonal to the vectors u = (5) and pue (4 E)=

A:

Q: 27. Given the vectors a and b, where a = 21 – 2j + 2k and b = 3i – j + 2k are coplanar vectors, a x…

A: Given vectors are a=2i-2j+2k and b=3i-j+2k are coplanar vectors. To find: a×b Solution: We have…

Q: Show that Il all = 11b|l Are the vectors ã' and b equal?

A: ||a|| = ||b|| a and b are not equal.

Q: Prove that if the vectors a,b parallel, then āxb=0. are %3|

A:

Q: and = Wnte Pas the sum of two orthogonal vectors, 2 in S panƐu} and orthogonal to .

A: Given that y→=51 and u→=36.It is required to write y→ as the sum of two orthogonal vectors, x1→ in…

Q: 4. Given the two vectors rA =-ax - 3ay - 4az and re= 2ax + 2ay + 2 az and point C (1, 2, 3) find: a)…

A:

Q: When decomposing the vector A= 2i - 1 + 3k into the sum of two vectors, the first is parallel to the…

A:

Q: If vector AB = i + 4j - 2k and B is the point (5, 1, 3), find A.

A: Given,

Q: 2. Find two unit vectors orthogonal to both and .

A:

Q: Find the value of k for which the vectors 2 1 2 and -3 5 k are orthogonal. k =

A:

Q: 16. A vector perpendicular to both 21 + 21 - k and -î + 2k is: A. 31 + 4j – 2k B. 31 – 4j – 2k C. 2î…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 24. Find v x w, where v and w are vectors of length 3 in the xz-plane, oriented as in Figure 16, and…

A: The vectors v and w are in the x-z plane. The cross product of both vectors will yield a vector…

Q: If the vector u = 2i-3j+v3k , then the length of u is -v2 True O False

A: # we are entitled to solve one question at a time , please resubmit the other question if you wish…

Q: 6. For the vectors ü = (4, 3) and i= (-2, 3), caleulate the following quantities. (a) la+ 레 (b) la+…

A:

Q: 5) Find a unit vector that has opposite direction of the vector i - 2j + 4k.

A: First change direction of vector then find magnitude and write unit vector

Q: 16. Consider this regular octagon. If AB =d and BC =v, express each %3D vector in terms of u and v.…

A: Considering OD on x-axis. Angle at center O made by any side of regular octagon is 45degrees.

Q: Find two linearly independent vectors perpendicular to the w 41 -6- 1

A: Given: vector is v→=4-91 we have to find the two linear independent vectors perpendicular the given…

Q: 1 Consider the line through the vector a = Find the project of b = (1,2,3) onto this line.

A:

Q: Under what condition for the real numbers a,b the vectors (b,-1)(2,a) are linearly related

A:

Q: 3. Find two unit vectors that are orthogonal to both j +2k and į -2j + 3k.

A: Solution is here

Q: 2 3. Show that that the vector u =|-5 is a linear combination of the vectors vi = -4 and vz = 3.

A:

Q: 9. Show that for any real numbers a and b the vectors u = ai and v = bj are orthogonal?

A: Topic:-  vector algebra

Q: Q1) If the vectors A, B, C and D in the same plane, prove (AxB) x (CxD) =0?

A:

Q: What is the value of each of the constants that are part of the linear combination between the…

A:

Q: 4) Find all vectors vE C? such that (1 + i)v + () = () 3+ 6i

A:

Q: 41. Find the value of A if the vectors i+ Aj+3k and-2i+j-4k arc parallel. uectors ii + 3k and 2i -

A:

Q: Q3/ Show that the vectors (2i + 3j + 6k), (3i – 6j + 2k)and (6i + 2j + 3k) Are mutually…

A:

Q: 2. Find an unit vector perpendicular on both a =i +2]- and 6 2i -k.

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: 2 3. (a) Find two vectors of norm 1 that are orthogonal to the vectors u = -3 and v = .3 4

A: What is the inner product of the vector space of 2 by 2 matrices. We assume it is Frobbenius inner…

Q: 1. Find the equation of the vector from SCS points P;(5, 45°, 30°) to P2(7,120°, 150°). Express your…

A: Given - P1(5,45°,30°) , P2(7,120°,150°) To find - The equation of the vector from P1  to P2 and…

Q: 17 jp 17 Jlgull>> حفظ الإجابت 3 درجات Two vectors ñ and m are said to be parallel if ñ m-0

A:

Q: and v2 = -3 3. be two -8- Question ( Let vi %3D vectors in R. Show that v belongs to span {v1, v2 }.

A:

Q: 2 -a) Find a unit vector perpendicular to the plane that passes through the points P(1,4, 6), Q =…

A:

Q: Construct the vector 1.6 d+1.8 c having initial point P.

A: We stretch the vector 1.0d to get 1.6d We stretch the vector 1.0c to get 1.8c Then position the…

Q: O Are the three vectors: V= 4i-8j+kV= 2i+j-2k and ū;=3i-4j+12K in the Same Plane?

A:

Q: s such that vectors –si – 2j+5sk and 9si +j+3sk are orthogonal.

A:

Q: 15.aib are in linearly independant vectors IK. et W= Span {aib, 2a+3b8. Tinen the dman sian )I B) 2…

A: Here, the vector 2a+3b is depending upon a and b. Therefore, any vector of W can be written as a…