For the vectors u=−1,4 and v=−4,2​, calculate projvu and scalvu.

Q: photo attached

A: Given informationU=(4, 1),  V = (-7, 3)That is U= 4i+1j      V = -7i+3j

Q: Write the following vector as a linear combination of the unit vectors i and j. (-4,Radical 2)

A: We need to the following vector as a linear combination of the unit vectors i and j

Q: For the vector u = 4i- 3j, find a unit vector a. in the same direction as u b. in the opposite…

A:

Q: Find in terms of i and j the following vectors :

A:

Q: For the given vectors u and v, find the cross product u × v. u = i + j + k,  v = 3i − 2k

A: Given the vectors u and v, u = i + j + k,  v = 3i − 2k

Q: For any vectors U and V, show that |U x V]? + |U• V]? = |U°|V[?

A:

Q: Given the vectors v=3i - 2j+5k and w=-i +4j+2k, find the following: a) 2v-w= b) V•W= ||w|| = c) 12 =…

A: v→=3i-2j+5k and w→=-i+4j+2k

Q: For the vector v = (2, 1), sketch (a) 2v, (b) −3v, and (c) 1/2 v.

A:

Q: For the pair of vectors, find U + V, U − V, and 2U − 3V U = 9, 5, V = 9, −5 U+V= U-V= 2U-3V=

A: We know that for two vectors a→=a1,a2 and b→=b1,b2, a→+b→=a1+b1,a2+b2         ⋯⋯1a→-b→=a1-b1,a2-b2…

Q: photo attached

A: Given vectors are

Q: Given the following vectors: u=(1, 2,-4) and v=(2, 3, 5) Find:

A: (a) The angle between the two vectors u and v is computed by the following formula. cosθ=u·v|u||v|…

Q: Use the vectors v=-2i+j and w=4i+3j to find: v + w

A: v=-2i+j and w=4i+3j

Q: Perform the following operations on the vectors u = (1, 3) and v = -3,4, a. |v| b. u· v c. Angle…

A: We can answer all the three questions as below.

Q: For the pair of vectors, find U + V, U – V, and 4U + 3V. U = 2i + 7j, V = 7i + 2j U + V = U - V = 4U…

A:

Q: For the given vectors u and v, find the proj,u and proj,v. 1. u = (10, 5) and v (2, 6). V =

A: Question- For the given vectors u and v, calculate projvu and scalvu. u = ⟨10, 5⟩ and v = ⟨2, 6⟩

Q: Perform the following operations on the vectors u = (1, 3) and v = (-3,4) a. v| b. u· v C. Angle…

A:

Q: For any vectors U and V, show that |U x V/? + |U · V[? = |U|°|V[? %3D

A: 1) The dot product of two vectors: a→·b→=a→b→cosθ 2) The cross product of two vectors:…

Q: photo attached

A: Given,

Q: For the pair of vectors, find U + V, U – V, and 4U + 2V. U = -5i + 6j, V = 5i + 6j

A:

Q: For the vector, find 2 -V, and 4V. V = 2i + 8j Your answ -v =-2i – 4j 4V = = 8i + 32j II

A:

Q: Use the given vectors v = 5i, w = j to find v . w and v . v.

A: To Determine: Use the given vectors v = 5i, w = j to find v . w and v . v. Given: we have v=5i  and…

Q: For two vectors a and b, V

A:

Q: For each pair of vectors, find U V.   . U = -i +j, V =-i - j

A:

Q: Find the sum of the given vectors; + B Å = 440 N Z 236°, B= 580 N Z 162° Draw and label a diagram…

A: Obtain the graph of vectors as follows: The third arrow is the resultant vector.

Q: photo attached

A: Given,

Q: For each pair of vectors, find U V.   . U =-3i,  V=5j

A:

Q: Find the angle θ between the vectors.p(x) = 1 + x2, q(x) = x − x2, ⟨ p, q⟩ = a0b0 + 2a1b1 + a2b2

A: +

Q: For the given vectors v and w find: (a) v+ w (b) w - v

A:

Q: For the given vectors a and b, find the cross product a x b. = (4, 0, –3), b = (2, 3, 0) a x b =

A:

Q: For two nonzero vectors u and v, if u v=0 then u and v are parallel.

A: Given that u and v are two nonzero vectors   Dot product of two nonzero vectors u.v=|u|.|v|…

Q: Use the given vectors v = i, w = -5j to find v.w and v.v

A: we have been given the vectors  v = i, w = -5j  and we have to find  v.w and v.v

Q: For the following pair of vectors, find U · V. U = −7i, V = 9j

A:

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

A:

Q: Reverse vectors u + v,

A: We simply follow parallogarm law for vector addition.

Q: For the pair of vectors, find U + V, U – V, and 3U – 4V. U = (3, 1), V = (-6, 2) U + V = U - v = 3U…

A:

Q: For the given vectors v and w find: (a) v + 2w (b) 3v – w (c) 2v 3 - -w + u 2

A:

Q: Given the two vectors u = & v =, find the following cross products: u x v and v x u

A: Given,          The two vectors are           u→=<0,2,1> and v→=<1,-3,4> .

Q: For any nonzero vector v, the unit vector that has the same direction as v is________ . To find this…

A: For any nonzero vector v, the unit vector that has the same direction as v: To find this vector,…

Q: For the following pair of vectors, find U · V. U = −2i, V = 9j

A:

Q: For the pair of vectors U = , V = , find U + V, U - V, and 3U - 4v. U + V =

A:

Q: For the pair of vectors, find U+V, U-V, and 4U-2V. U = -9i+4j, V = 9i+4j U+V = ? U-V = ? 4U+2V =…

A:

Q: For the vector, find 1/2(V),−V, and 4V V= (-5,9)

A:

Q: For this question, define the vectors v and w .

A:

Q: Use the given vectors v = 5i, w = j to find v.w and v.v

A: Given :             vectors   v = 5 i  + 0 j         and    w = 0 i + 1 j          Formula:      If…

Q: Find the vectors T, N, and B at the given point.

A: Given vector and a point To find tangent vector T(t) use formula

Q: Reverse vectors и V --v u + v

A:

Q: photo attached

A: Given:U = <3, 3>V = <3, –3>