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

Q: Find the length of the vectors (a) 2i⃗ +3j⃗ −k⃗

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

A: v=-2i+j  &  w=4i+3j Now, 2v=2-2i+j=-4i+2j

Q: Use the given vectors u = 5i-4j to find u. W W = -2i - j

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Q: Given vectors v=3i-5j, and w=-2i+3j, calculate the following: A) 3v-2w B) ||v-w||

A: The given vectors are

Q: If A = 6i + 7j – 10k, B = – 4i + 5j + 6k, C = 10, and C is perpendicular to both A and B, write the…

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Q: ow that c=3i -2j1+k and d=2j+ 4k are orthogonal.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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

A: As per our guidelines we are supposed to answer only one question and rest of the questions are…

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: Use the vectors u = 4i − j, v = 3i − 5j, and w = −4i + 9j  to evaluate the expression. 2v − u + w

A: Given that  u = 4i − j, v = 3i − 5j, and w = −4i + 9j we have to find 2v − u + w

Q: 19 Use the given vectors to find V.w and V-V V= 6i-25, w=-4i-3

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Q: Given vectors: ū = (4, 9), v = (-8, 15) and w=(2, 10) a) Show that and w can span R². b) Write u as…

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Q: Given the vectors u=, v= find u+3v| 3. 15 -1

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Q: Given v = 2i + 4j, w = -3i + 6j, find projw v. Then decompose v into two vectors, v1 and v2, where…

A: *The given vector v is, v=2i+4j *The vector w is, w=-3i+6j The projection of the vector on the other…

Q: Given: 1. v = 2i – 4j + vV5 k, u = -2i + 4j – V5 k 4 2. V = i+k, u= 5i + 12j Find: |n| Ja| 'a.n b.…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: (3) For what value(s) of a will the vectors u = 2i + 4j-5k and v= -4i-8j + ak be parallel? V ا ) وہ…

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

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

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

A: Given vectors are, v=-2i+j and w=4i+3j.   The objective is to find -v+2w.   First, find -v as…

Q: Given v = 7i+ 9j and w = - i+j, a. Find projwv. b. Decompose v into two vectors v, and v2, where v,…

A: Given that       v = 7i + 9j    and    w = -i + j Here we have to find projwv .

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: Given v = 2i + j, w = 6i + 3j, find projw v. Then decompose v into two vectors, v1 and v2, where v1…

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Q: The vectors A = 2i + 5k and B = 4i + 3j + k has: a) Ā || B b) A1 B c) 0 = 61.743°

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Q: The vectors A 6i + 4j – 8k and B = xi + 6j + zk are known to be parallel. Find x and z x = 9. -12

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Q: Find the component of u along v. u = 7i, v = 8i + 6j %3D Submit Answer

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Q: Find the component of u = 2i + j − 3k that orthogonal to v = 3i – j, then verify your result.

A: This question can be solved using the concept of component of vectors.

Q: Use the given vectors v = -8i - 3j, w = -10i - 5j to find v.w and v.v

A: Given          v=-8i-3j ,          w= -10i -5j

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 the vectors →u=−6i−3j and v→= 10i+5j perform the operations below. →u+→v=____________ →u−→v=…

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Q: Find the component form of v, where u = 5i − j. v = 9/5u

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Q: Given the vectors v = 4i + 2j – 3k and w = 3i – 4j + k. Find | 2v- w| А. V41 В. /126 С. V65 D. V138

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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: Given the vectors v = 4i + 2j +k and w = 3i – 4j + k. Find | 2v – w |

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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 u 4i – 2j and i 8i 101, perform the operations below. +几

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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: 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: Given the vectors v = 4i + 2j – 3k and w = 3i – 4j + k. Find | 2v – w | V

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Q: Given the vectors v = 3i-8j and w = 6i-j, find 5v and v+w.

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: Let's find.

Q: Given the vectors v = 3i-8j and w =6i-j, find v W.

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Q: Use the given vectors v = -8i - 3j, w = -10i - 5j to find v . w and v . v.

A: Consider the given vectors v and w. First calculate the dot product for v and w.…

Q: Find the angles that vector D 2.5 - 8.5 + k) m makes with the x-, y-, and z- axes.

A: Follow the procedure given below.

Q: Given v = 6i + 2j and w =i-j, a. Find projwv. b. Decompose v into two vectors v, and V2, where v, is…

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Q: Given v = 7i+9j and w = -i+j, a. Find projwv. b. Decompose v into two vectors v, and v2, where v, is…

A: Here we have to find projection  And decompose v in two vectors

Q: Find the component form of v, where u = 2i – j and w = i + 2j. V = u + 2w

A: Given:

Q: Find the angle between the vectors u = - 5i – 3j and v = 6i + 2j + 5k.

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Q: Find the angle between the vectors i – k and 4i + 4j -2k

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Q: b) For what values of A, the vectors 2i -j+ 2k and 3i + 22 j are perpendicular?

A: If we have two vectors ai^+bj^+ck^  and a'i^+b'j^+c'k^ , then, these vectors are said to be…