k2 -1 |, v = -3 ||

Q: For what values of the scalar t are the three row vectors (t,3,0), (3,t,3) and (0,3,t) linearly…

A:

Q: c) Find all value(s) of t such that the vectors 2t i – 2 j-k and 2t i+ 3t j – 2 k are perpendicular.

A:

Q: Let I and g be unit vectors. Hence T-T= -G = 1. Calculate the inner products I (-1) and (T+g) -…

A:

Q: 7.) for which value(s) of k are the following vectors linearly independent? u =

A:

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: A, B, and C are 3 distinct points with non-zero position vectors a, b, and e respectively. a If a x…

A: Given three distinct points are A, B, C. with position vectors a, b, c respectively.…

Q: find all values of the scalar k for which th e two vectors are orthogonal.

A:

Q: For what values of the scalar t are the three row vectors (t,3,0), (3,t,3) and (0,3,t) linearly…

A:

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: find all vectors v⃗  in 2 dimensions having ||v⃗ ||=41 where the j⃗ -component of v⃗  is 9j⃗ .

A: Our objective is to find all the vectors v having ||v||=41 and the j-th component 9j.

Q: 5) Consider the vector function r = (9 — 2t, 4 + 2t, √√2t²) a. Find the length of the path on 0≤t≤1.…

A: Given,

Q: A vector A-xyzi+3x'yj+ (xz-y'z) k.

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: 2. Find the value(s) of h for which the following vectors are linearly dependent. Justify your…

A: To find the value(s) of h, we find the determinant of these vectors and then solve for h.

Q: #f(r) +7z +2, g(x) -r+1 find a degree 2 polynomial h(z) such that together these 3 are linearly…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: For which real values of A do the following vectors form a linearly dependent set in R³? m = (A.-)…

A:

Q: Q5) Find the value(s) of h for which the vectors are linearly dependent. 2

A:

Q: 3 (c) Let ¤ = Find the vector in col(A) which is closest to T. 2

A: Consider the matrix  A=[1-1414-21421-10]We first see whether the colums of A are linearly…

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 the value of k for which the vectors -4] -5 and -5 k are orthogonal. k =

A: Let the two vectors be- a →=-20-51        and  b→= -4-50k It is given that both the vectors are…

Q: If u and v are vectors in R^n, and if v≠0 ⃗, then u can be expressed in exactly one way in the form…

A: first draw a figure as below

Q: Determine all vectors v that are orthogonal to u. (Set v, = t and v3 = s and solve for v, in terms…

A:

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 a value of k such that the given vectors are linearly dependent [ -2 4+ k 4 ,X2 = 2 X1= ,X3 =…

A:

Q: Is v = |1a vector in the span of S = }|2| Use Gaussian elimination to support your answer.

A: To check v=111 a vector in a span of S=123, 012, -201 or not.

Q: The matrix S is not positive definite. Find a vector x such that x" Sx < 0. 5 6 S = 6 7

A:

Q: Given two vectors t = (1,2, 3) and ở = (1,0, – 1), find (a) t . ở (b) a vector that is orthogonal to…

A:

Q: Q2/ If Vi - 5i-j +k V: -j-5k V3--15i + 3j - 3k Three vectors in space. Find if any of V1, V2, and V3…

A:

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

A:

Q: Find the value of k for which the vectors and 4 -4 are orthogonal. k =

A:

Q: Find the value(s) of h for which the vectors are linearly dependent. [1 11:-5 -2 6.

A: To find the value of h for which the vectors are linearly dependent.

Q: Find the value of c for which the vectors -2 and c-3 in R'are linearly dependent. Select one: 1 2 O…

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Q: tind ALL values f k such that the tollowing vectors are linearly m dependent and k 16-k.

A: Vector space: linearly dependent and independent

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: Which of the following vectors are linearly independent? (2) (0) 21

A:

Q: Find the value(s) of h for which the vectors are linearly dependent. Justify your answer. -4 2 - 4…

A: Vectors are Linearly Dependent so it (two vector) can be written as a linear combination of third…

Q: Let a = (5, 4) and b = (1, –5). Show that there are scalars s and t so that sa + tb = (-13,-22) You…

A: Given, Let a=5,4,b=1,-5 And sa+tb=-13,-22

Q: Find a vector function that satisfies the conditions r"(t) = 12ti – 31-/2j+2k, r'(1) = j, r(1) = 2i…

A: We have to find a vector function that satisfies the conditions…

Q: The vectors u=[-3, -4, -17]T , v=[3, 0, -6+k]T, w=[-1, 2, 1]Tare linearly dependent if and only if k…

A: The vectors u=[-3, -4, -17]T , v=[3, 0, -6+k]T, w=[-1, 2, 1]Tare linearly dependent if and only if k…

Q: Let F = 2ax - 6ay + 10az and G = ax + Gyay + 5az. If F and G have the same unit vector, Gy is (А) -3…

A: Two vector will have same unit vector if the ratio of their components are same.

Q: Find the binormal vector for 7(t) = (3t, sint, cos t) А. ВО cost, sint V10 10 1 B(e) = (- 3 В. ВО)…

A:

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: 10. Let the vector v = 2i -3j + k, and the vector w = = -i+3j+ 2k. Find v x w.

A:

Q: 4. For which value of k the vector u = -2 is a linear combination of the vectors k 3 3 and v2 = of…

A: Given: To find the value of k such that vector u=1-2k is a linear combination of vectors v1=30-2 and…

Q: Which of the following vectors are linearly independent? B) [1 2 3] 37 206 S75 R이 기이 46l GaF

A:

Q: Find the value(s) of h for which the vectors are linearly dependent. 2 3 4 - 7 h 4

A:

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: Find the value of k for which the vectors -5 -1 4 and -4 k are orthogonal. k =

A:

Q: For a given vector a E R" and scalar A > 0, show that the following problem 1 minx, ||x – all +A…

A: Given: A vector a∈ℝn and a scalar λ&gt;0   To show: The problem minx12x-a22+λx2 has the optimal…