Г 13 and vz = 14 are linearly independent. Determine whether the vectors v 14

Q: Determine whether or not the given two vectors are parallel.u =〈-3, 1, 4〉, v =〈6, -2, 8〉

A:

Q: If v = -2i + 5j, find a vector orthogonal to v.

A: Given v=-2i+5j We need to find a vector that is orthogonal to v. Two vectors are said to be…

Q: Find the unit vector having the same direction as v. v = 3i - 4j 3 4 4 3 3i-3i Ou=15i- 20j

A:

Q: Express the given vector in terms of the unit vectors i, j, and k. (2, -5, 0)

A:

Q: Determine the two unit vectors that are orthogonal to A= . Which two unit vectors are parallel to A?

A: Given that, A = <1, 2> Suppose that <a, b> is orthogonal to the vector A = <1, 2>…

Q: Write three properties of parallel vectors p and q.

A: Introduction: Only when there is a 0 degree angle between two vectors can it be said that they are…

Q: (b) Find the angle between the vectors u and v if u = (2,3,5) and v = (1, -4,3) in %3D R3.

A:

Q: Show steps clearly.

A:

Q: What are the values of h for which the vectors ar linearly dependent? HEB -4 7. h

A: Given that:  Let u=2-41, v=-67-3 and w=8h4

Q: A vector u is a positive multiple of . Vector v = with a , what will be the signs of d, e, and f?…

A:

Q: write the given vector in terms of i and j. u= (-8,5).

A: It is given that, the vector u is, (–8, 5).Assume that, the symbol i represents the horizontal…

Q: The unit vector in the direction of u = (2, 3) is A. (-,1) В. (3, —2) 2 3 V5' V5 3 D. (- V13 2 V13 O…

A: We a given a vector u=(2,3) We are asked to find out unit vector in direction of  vector u=(2,3)

Q: Two vectors (M = 4ax-bay) and (N = 6ax-2ay-Saz), find the vector perpendicular to these vectors?

A: Given Vectors are                                                 M=4ax-6ayN=6ax-2ay-5az vector…

Q: Find the vector v = PQ. %3D P = (2,3,4) Q = (2,5, 10) V =

A: The vector v is given by v=<q1-p1,q2-p2,q3-p3> therefore   if P=(2,3,4) and Q=(2,5,10) then

Q: If u =(3, 3), v=( 13. -7), and 2w +3u-v= (4,-4) then what is the coordinate of vector w?

A: Since u=(3,3), we have u→=3i→+3j→ Also, since v=(13,-7), we have v→=13i→-7j→ Let w=xi→+yj→ Given…

Q: Let u= -10i+4j- 4k, v= 5i-2j+2k, w=2j-5k. Which vectors, if any are (a) perpendicular? (b) Parallel?

A:

Q: Express the vector as a product of its length and direction. 6j - 8k 100- 10(j - k) 3 10 j O 10(6j -…

A: We have to find out the vector

Q: Let v = (-4, 3, 2). Find a unit vector in the same direction as v.

A:

Q: Find 4u, -5v, u + v, and 5u - 3v for the given vectors u and v. u = i +j, v = i - j 4u = -5v = u + v…

A:

Q: b. Determine which of list of vectors The following Dinearly independent. Juihfy your. are awnser-…

A: From given vectors it is clear that

Q: Consider the points A (10, 9) and B (0, – 7). Find the vector AB. АВ

A:

Q: A. Give the Cross products of the unit vectors (i, j, k).

A: Understanding of cross product of three vectors are required to under this.

Q: Write the vector as a linear combination of the unit vectors i and j.

A: Given two unit vectors i and j.  To write the linear combination of i and j.

Q: Find the unit vector having the same direction as v. v = 3i - 4j 3. 4 3 Ou-15i-20j

A: We have to find unit vector

Q: Determine whether the vectors v1=[1 2 1]^T , v2=[10 2]^T and v3=[5 6 7]^T are

A:

Q: Find the component form and the magnitude of the vector v. ||v|| %3D y 9. (2, 4) V 2 -2 (-1, -1) -2…

A:

Q: Find the unit vector having the same direction as v = (1, - 3). %3D 1 3. V 10 V10 10 V10, 3. O (1,…

A:

Q: = ( The U 3 is a unit vector in V13' V13 .(2, 3) the direction of

A: We know a unit vector in the direction of vector U→ is given by : U→=U^U^

Q: Find the angle between the vectors a 0 = and b = 2i+j - 4k. 10i - j - 5k

A:

Q: Determine whether or not the given two vectors are parallel.u =〈4, 2, -6〉, v =〈2, -1, 3〉

A: To determine whether or not the given two vectors are parallel.u=4,2,-6 and v=2,-1,3 By definition,…

Q: State the condition(s) that: a) two vectors can be equal vectors. b) two vectors can be opposite…

A: To state the conditions for a given vectors.

Q: Determine if the vectors v = 3i i, and w = 2i -6j are parallel or not. Explain.

A:

Q: Use the vectors u = (2, 2), v = (-5, 1), and w = (2, -2) to find the indicated quantity. (v - u) -…

A:

Q: Find the component form of the vector v given ||v|| 12 following the direction of u (3, –5) %3D

A: The vector v in direction of u can be found  blew step.

Q: Use the vectors u = (6, 6) and v = (-9, 3) to find the indicated quantity. (u - v)v (u · v)v =

A:

Q: Use the vectors u = (4, 4), v = (-7, 2), and w = (4, –1) to find the indicated quantity. (u · v) –…

A:

Q: Are the vectors ū = [4 -5 4], v = [2 2 -3] and w = [-1 -5 2] linearly independent? Choose If they…

A: To find Whether the given vectors are limearly independent or not.

Q: If v = 7i + 3j and w = 4i - 5j, find the vector v - w

A: If v = 7i + 3j and w = 4i - 5j, find the vector v - w

Q: 10. Which of the vectors U =, V = and W = are in the same plane?

A:

Q: If U1 and U2 are orthogonal unit vectors and V = aU1 +b U2, find V.U.

A:

Q: Vị 6. V2 = 29 Which weights should be used for b = a¡V1 + azV2 to obtain the vector b = ? 19 Ex: 42…

A:

Q: 1) Check whether the vectors 효-1 33 5], -[3 10 6 T T Va = [2 7 3 2]' are line orly independent.

A:

Q: Determine whether the two given vectors are orthogonal, parallel, or neither. u = (4, 5,-2), v =…

A:

Q: The unit vector that has same direction as the vector from the point A(6, 8) to the point B(4, 10)…

A:

Q: Use the vectors u = (2, 2), v = (-5, 1), and w = (2, -2) to find the indicated quantity. (v . u) –…

A: Given that u=2,2,  v=-5,1  and  w=2,-2.. Compute v·u as follows. v·u=-5,1·2,2=-52+12=-10+2=-8

Q: Find the component of V, |V|= V5 in the direction of a vector from A(0,0, 4) to B(2,5, 0).

A: The vector joining the points A0,0,4 to B2,5,0 is given by, AB→=2-0i^+5-0j^+0-4k^=2i^+5j^-4k^ The…

Q: Determine if the vectors t= %3D(-16, 24) and s= (3, 2). are orthogonal, parallel, or neither.

A: We have to calculate dot product and magnitude of the given vectors

Q: Find a unit vector u in the direction opposite of v = (2,8,-3).

A: Solution ) v =  { 2 , 8 , -3 }   vector with same magnitude and opposite direction   = { -2 , -8 , 3…

Q: ä = 27 + 6j – 4K, b = -3ï – 9j + 6K

A: