Find the length and direction (when defined) of u x v. u = 2 i+ 2j- k, v = -i+ k

Q: Find a and b such that v = au + bw, where u = ⟨1, 2⟩ and w = ⟨1, −1⟩. v = ⟨−7, −2⟩

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Q: Determine whether u and v are orthogonal, parallel, or neither u = −2i + 3j − k, v = 2i + j − k

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Q: Given the points P(-3, 4) and Q(-1, 5), express the vector PQ in terms of i and j.

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Q: find the value of k for which the vectors u and v are orthogonal.  u = 2i - kj v = 3i + 2j

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Q: Find the length and direction (when defined) of u x v and vxu. u= 5i + 3j – 5k, v=0

A: we know that  uxv=|u|.|v|sin∅.n^where ∅ is angle between u and v and n^ is unit vector perpendicular…

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

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Q: find the length and direction (when defined) ofu * v and v * u. u = 3/2 i - 1/2j + k, v = i + j + 2k

A: Given

Q: Find a and b such that v = au + bw, where u = (1, 2) and w = (1, -1). v = {8, 1) a = b =

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Q: Find the length and direction (when defined) of u xv and v×u. u= - 8i – 4j – 3k, v = 3i + 3j + 4k

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Q: Find the length and direction (when defined) of u x v and vxu. u= - 12i + 9j – 12k, v = - 4i + 3j –…

A: Using formula of u x v and v x u,

Q: In Exercises 1–8, find the length and direction (when defined) of u X v and v X u. 1. u = 2i – 2j –…

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Q: According to the given values seen on the figure and table, compute the coordinates of P1 and P2. SN…

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Q: given the vectors u = (2,4) y = (- 1,3) and w = (2, -3) Determine the values ​​of α and β such that…

A: Given vectors are  U = (2,4) so we can write it as=  2i + 4j ( i is the unit vector in x direction…

Q: Given vector u = (6, –1) and v = (2, –2) , determine the value of u – 2v in component form.

A: Given query is to find the indicated vector.

Q: Use a graphing utility to find u × v, and then show that it is orthogonal to both u and v.u = 4i +…

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Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, –1). %3D %3D = (0, 6) V = a b…

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Q: Find u × v and show that it is orthogonal to both u and v.u = 2i − j + k, v = 3i − j

A: Now,

Q: Given vectors u and v below, find c such that u and v are orthogonal. u = [5, –5, c) v = [-3, 1, –1]…

A: If two vectors are orthogonal then their dot product will be zero

Q: Find a and b such that v = au + bw, where u = ⟨1, 2⟩ and w = ⟨1, −1⟩. v = ⟨−1, 8⟩

A: Given that v = au + bw. Substitute u =<1, 2> and w= <1, -1> in v.…

Q: 7. Find the angle betweenu and v. u = 6i and v = 5i+ 4j

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Q: For any two vectors u, v E E such that u v and ||u|| = 12 21 a 17

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Q: Given the vectors u = -i-5j and v =-3i+2j, find u v

A: Given vectors are  u=-i-5j     and   v=-3i+2j

Q: find the length and direction (when defined) ofu * v and v * u. u = 2i, v = -3j

A: Given vectors: u=2i+0j+0k and v=0i-3j+0k u×v=ijk2000-30u×v=i0×0-0×-3-j2×0-0×0+k2×-3-0×0u×v=-6k The…

Q: Find the angle between u=3i+2j and v=-4i

A: Given,          The two vectors are u=3i+2j and v=-4i.

Q: find the length and direction of (u x v) and (v x u) u = 21 -2j - k, v =i - k

A: Determine the cross product.…

Q: Find a and b such that v = au + bw, where u = ⟨1, 2⟩ and w = ⟨1, −1⟩. v = ⟨4, 5⟩

A: we have to find a and b such that v=au+bw where u=1,2 and w=1,-1 and v=4,5. the given vectors are:…

Q: Find the length and direction (when defined) of u xv and vxu. u= - 12i + 8j – 20k, v = - 3i + 2j -…

A: To find the length and direction of u→×v→, first find the value of u→×v→ by cross product. The given…

Q: Given the vectors s = 6i-4j and t=-i+2j, find s t. S.t = i j

A: topic - dot product of vectors

Q: Find u × v and show that it is orthogonal to both u and v.u = j + 6k, v = i − 2j + k

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Q: b) Find the value(s) of z such that the angle between the vectors U₁ = and U₂ = is equal to 30°.

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Q: Use a graphing utility to find u × v, and then show that it is orthogonal to both u and v.u = 2i + j…

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Q: Let u = i - 2j, v = 2i + 3j, and w = i + j. Write u = u1 + u2, where u1 is parallel to v and u2 is…

A: u1 is parallel to v and u2 is parallel to w.So u1= av and u2=bwWhere a and b are constants.

Q: Find u x v for the given vectors. u = i -2j +3k, v = -2i +2j +3 k u x v = ai +bj +ck where a=], b=],…

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Q: Find the component of u along v. u = 31 - 24j, v =j

A: component of vecor u along vector v is=u→.v→v→givenu=3i-24jv=j

Q: For the given vectors u and v, find the cross product u × v. u = 7i − j,  v = −7j + k

A: Given : u=7i-j  and v=-7j+k To find: The cross product of u and v : u x v

Q: Use a graphing utility to find u × v, and then show that it is orthogonal to both u and v.u = 3i − j…

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Q: Use a graphing utility to find u × v, and then show that it is orthogonal to both u and v.u = −2i +…

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Q: Find a and b such that v = au + bw, where u = (1, 2) and w = (1, -1). v = (9, 3) a = b =

A: This question is based on vector form.

Q: Find the length and direction (when defined) of u x v. u = -,i + +k U = i + j + 2k ||uxo ||= 8 | ||u…

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Q: A line L has a direction vector v = 2i t 4j+ v5k and passes through the Find the distance between…

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Q: Determine whether u and v are orthogonal, parallel, or neither.      u = j + 6k, v = i − 2j − k

A: Given  u = j + 6k, v = i − 2j − k

Q: Find: U.V 6 The angle between u and v. For © u=sj-3k ( v=i+j+k

A: It is vector calculation

Q: find the length and direction (when defined) ofu * v and v * u. u = i + j - k, v = 0

A: Consider the given vectors and rewrite vector v in terms of i, j and k. u=i+j-kv=0v=0i+0j+0kTo find…

Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). %3D v= (0, 6) %3D b =

A: Explanation of the answer is as follows

Q: given vectors u=4i-j and v= 3i+3j compute the projection of v onto u?

A: Given, vector u and v

Q: The vectors i = (-4, p, –2) and j = (-2,3, 6) are such that the angle 0 between them satisfy…

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Q: Show that u and v are perpendicular in each of the following cases. (i) u = 31 -j+ 2k , v= 2i + 5j –…

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Q: 3. In each part, determine whether u and v make an acute angle, an obtuse angle, or are orthogonal.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: For what values of y are the vectors yi – 2j + 3y k and 6i +j+ 3y k orthogonal.

A: To find the values of y for which the vectors yi-2j+3y k and 6i+j+3y k are orthogonal.