Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provided round brackets.. (a) Oppositely directed to v = (11, -14) and half the length of v. w = (?, ?) (b) Length √2 and same direction as v = (5,0,−1). W = (?, ?, ?)

Q: 3. Determine the value of a and b if the vectors à = [a, 26, 32] and b = [49,-91,b] are collinear.

A: Given,            Two vectors are a→=a,26,32 and b→=49,-91,b are collinear.To find : Determine the…

Q: Find the angle between two vectors ū = (1, –1,0), and ở = (2, –1,2) %3D

A:

Q: 5. For the vectors = (-3, –4) and v = (-2, 2) Find the dot product u · v, and the angle 0 between…

A:

Q: For the following three vectors, what is 2. Ć ·(3 Á × B )? В = 3.00î + 3.00ĵ – 4.00k B = - 3.00î +…

A:

Q: GIven vectors =(-5,9) and v = (-1, 1), find u v. %3D

A:

Q: Find the symmetric equation for the line through the point of (2.-5,4)and a vector (3,–1,-3).

A: Given the vector is, 3,-1,-3 And the point is, (2,-5,4). The parametric equation for…

Q: Find the equation of the line L that passes throught point P ( – 4, 3, 7) and Q( – 8, 1, − 5). Enter…

A: r(t)=<-4,3,7>+t<-4, -2,-12>Explanation:Hope it helps youplease ask if you have any…

Q: 40. Given a = (3,-4) and b = (1, 2). Find the vector a + 2b a. (5,-8) b.(5,0) c.(4,-4) d. (4,0)

A: Given,

Q: (a) AB-BC (b) projABAC (the vector projection of AC onto AB) (c) the area of AABC

A:

Q: ngle between the vectors -4 and 4. 2. 2.

A: We have to find the angle between given vectors.

Q: The vectors a=⟨2,3,z⟩ and b=⟨1,2,z⟩ are orthogonal to c=⟨z,r3,−z⟩, where z and r are nonzero real…

A: Given:Vector a=2,3,z,b=1,2,z are orthogonal to c=z,r3,-z

Q: : The vectors a and b span R°. What values of m and n will make the following statement true: (2m +…

A:

Q: If v + w = [ 5/1 ] and v - w = [ 1/5 ],compute and draw the vectors v and w.

A: Vector: An object which has both magnitude as well as direction is called a vector. We can draw a…

Q: %3D 2a+3b+4c = ( 3. 2. =q C. 3. 4 Vectors

A:

Q: (H) Find magnitude and angle (deg) of the following vectors, where x=x-component & y-y-component.…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Which of the following pairs of vectors are perpendicular? /2 > and and and < - C. None of These…

A:

Q: Given the vectors A = (-1, 2, 3), B = (0, 4, -5 ), C = ( 1, 0, -2 ), D = ( 2, 3, 1) A. Find the…

A: Given query is to find indicated vector.

Q: Find the vectors T, N, and B at the given point. - (²2², ²₁³, t), (1, - ²-₁, -1) = T = N = B = r(t):

A: To find the vectors T, N, and B at the given point, we need to differentiate the position vector…