3.2 1.5 -0.6 |, v = 4.1 -1.4] -0.2

Q: 27. Find a unit vector that is orthogonal to both i +j and i+ k.

A:

Q: Find the coordinate vector of w relative to the basis S = { u1, u2}for R². u 1 = (20, – 20), u 2 =…

A:

Q: find the distance d(u, v) between u and v in the given exercise.

A: We will use the formula

Q: 21. Find the coordinate vector of x = with respect to the basis B = {v1, V2, V3} where vi =|1 V2 =…

A: Write x in linear combination of v1 , v2 , v3

Q: Let DE be the vector with initial point D(8, 6) and terminal point E(-1, 5). Write DE as a linear…

A:

Q: For what value(s) of k are the vectors u = in R orthogonal? k v= -2

A: Here we have to find the value of k such that u=1k3 and v=k2-2-1 in ℝ3 orthogonal.

Q: Evaluate the vector component of E =10â, - 6 â, +5â̟ that is parallel to F = 0.1⸠+0.2 â, + 0.3 â¸.…

A:

Q: Find the coordinate vector [x]R of x relative to the given basis B= {b,. b2, bg}.

A: Here we have to find the coordinate vector [X]B of X relative to basis B.

Q: Let r(t) = (e", e", te") be a vector function. Find; 21 -2t (a) r'(1) (b) r"(1) %3D

A:

Q: find II u II for the given exercise, and give a unit vector in the direction of u.

A: Now,

Q: +5 c) Let y = n44| and u = is Span{u} and one orthogonal to u. where n=9. "t. Write y as sum of two…

A: y=nn+4 and u=n+5n-1. We have to write y as the sum of two orthogonal vectors, one is span{u} and one…

Q: 4. Find two unit vectors orthogonal to both j-k and i+j.

A:

Q: 5) Find the unit vector in the direction of v = 2i + j+k 1 - i+-j+ d) i+j+k 1 1 j+ V5 а) V5 k b)

A: We can solve this as follows:

Q: Defined by T(x) = Ax, find a vector x whose image under T is b, and determine whether x is unique.…

A:

Q: Find all value(s) of t such that the vectors 2t i – 2 j– k and 2ti+ 3t j – 2k are nernendicular

A:

Q: Q2) Find the coordinate vector [x]B of x relative to the basis B={b1, b2}:

A: Let us consider a vector V  with the basis b1,b2,......bn then any vector v∈V is written as linear…

Q: Find the component form of the vector v and (b) sketch the vector with its initial point at the…

A:

Q: Let E 3a, + 4a, and F 4а, — 10а, + 5а.. %3D %3D (a) Find the component of E along F. (b) Determine a…

A:

Q: Find a unit vector orthogonal to both u and v. U = -3i + 5j + 2k V = 21/01-21 +11/2010 -k X

A:

Q: A vector orthogonal to both u = 2i + j – 2k and v = -j+k is اخترأحد الخيارات -i – 2j + 4k .A | i –…

A:

Q: find II u II for the given exercise, and give a unit vector in the direction of u.

A: Given a vectors

Q: Find the value(s) of h for which the vectors are linearly dependent. [1 10. 3 11.-5

A: Given vectors are L.D if

Q: find II u II for the given exercise, and give a unit vector in the direction of u.find u ·v. u= […

A:

Q: 2. Let Ā and B be nonzero vectors. Find k e R such that B – kĀ is orthogonal to Ā – B.

A:

Q: Find a vector orthogonal to both given vectors u and v . u=2i-3j +k  v= -3i +4 j +4k

A: Given, u=2i-3j +k  v= -3i +4 j +4k    We have to find the orthogonal vector to both given vectors u…

Q: find ||u|| for the given exercise, and give a unit vector in the direction of u.

A:

Q: Q3. Prove that (only one): a- G = ax-ay is a unit vector? %3D b- L = 6a, – 3a, + 2a, and M = 3a, +…

A:

Q: find ||u|| for the given exercise, and give a unit vector in the direction of u.

A: Given: u=123 v=231 The modulus of the vector u→ can be calculated as, u→=12+22+32      =1+4+9…

Q: Find the coordinate vector of A with respect to the basis = {E22, E21, E 12 E11} of M22

A:

Q: Find the coordinate vector of w relative to the basis S = {u1, u2} for R2. : (6, – 6), u2 = (2, 2);…

A: Here we have to find the coordinate vector of w relative to the basis S ={u1,u2} for R2 . Here…

Q: (g) We have a set of vectors: U1 = £1 - L2 + £3 2e1 + £3 = +£2 + 2e3 with which we are going to use…

A:

Q: 1 (b) Find the span of vectors i = |0 and j = |1 in R3

A:

Q: H.W 3- Find a vector V =xi +yj +k that is orthogonal to both A = 3i + j +k _and B = 3i +2j +2k .

A:

Q: E Let p 8x + 4x + 3. Find the coordinate vector of p relative to the following basis for P2, Pi = 1,…

A: We have to find the coordinate vector of P.

Q: If r(t) = (1 + t)/²i+ (1- t)/2j+tk, t 0 then the binormal vector B is اخترأحد الخيارات

A:

Q: Find the value(s) of h for which the vectors are linearly dependent. [1 11.-5 8 h 6.

A: We have to observe the relation between the vectors.

Q: Consider the vectors cO 1 (2 1 2) (1 1 0) in R3. Find the value of c, for which given vectors are…

A: The given vectors,c01, 212, 110

Q: Find the value of h such that the vectors ()()(E) 1 2 h 1 1 are linearly dependent? Show details of…

A:

Q: find ||u|| for the given exercise, and give a unit vector in the direction of u.

A: The given vectors are, u=3-2   and   v=46 The objective is to find the norm of u and a unit vector…

Q: 11) For u = (2,3,-1) and v (-1,01) find; %3D II a) proj,(u) b) The vector component of u orthogonal…

A: For finding projection using the formula, projv(u)=v→.u→v→2v→ The vector component of u orthogonal…

Q: find ||u|| for the given exercise, and give a unit vector in the direction of u.

A:

Q: 2. Given a force vector F= -381 + 2z + 783 (kg m/s) and the DCM ape CSW = b q n de determine the…

A: Here we solve the given problem.

Q: perpendicalar 1) A vector to both ij+3k and 21 +j + K is

A: Vector obtained by cross product of two vector is perpendicular to both of them

Q: find ||u|| for the given exercise, and give a unit vector in the direction of u.

A: To find: Unit vector in the direction of u=3.2-0.6-1.4. Concept used: The unit vector in the…

Q: Find the value(s) of h for which the vectors are linearly dependent. [1 [1 3 4 10. 3 11.-5 8. -3 -2…

A:

Q: Q2) Suppose a vector y is orthogonal to vectors u and v. Prove or give a counter example that y is…

A: Given that y is orthogonal to vectors u and v. To show: y is orthogonal to vectors u + v or not.

Q: Let r (t) = |r (t)| = ( the length of the vector is round to one decimal

A:

Q: find II u II for the given exercise, and give a unit vector in the direction of u.

A: