Find the unit vector in the direction of vector u= 3i – 4j + 12k 12 4. 13 12 4. 12 13 13 132 13

Q: Find the magnitude of u x v and the unit vector parallel to u x v in the direction of u x v. u = 2…

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Q: Find the unit vector in the direction of v. v = -6.3i + 3.7j = n

A: Topic = Vector

Q: Find the unit vector in the direction of u. u= (2, 3) 13 13 13 13 |13 13 3 13

A: The vector u is u=(2, 3)

Q: find the given vector  Unit vector ew where w = (24, 7)

A: Given: w=24,7

Q: Find a unit vector orthogonal to both u and v. u = 8i – 16j + 2k v = 16i + 32j – 6k -

A: In the given question we have to find the unit vector orthogonal to both u and v. u=8i-16j+2k…

Q: 27. Find a unit vector that is orthogonal to both i +j and i+ k.

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Q: Find a unit vector u with the same direction as x = . 9 40. 41' 41 40 41' 40 9. 49' 49

A: The unit vector u in the direction same as x = <a, b> is given by, u=xx=a,ba2+b2

Q: Find a unit vector orthogonal to both u and v.u = −i − j + k v = i − j − k

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Q: Find a unit vector orthogonal to both u and v. u = 31 - 2j + 5k V = + 10 2

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Q: Find a unit vector orthogonal to both u and v. u = 3i + 5j + 2k V= 위해 + -k 10

A: Given the vectors u→=3i→+5j→+2k→, v→=12i→-34j→+110k→. To find: A unit vector orthogonal to both u→…

Q: Find the indicated vector. Let u = 3i, v = i+j. Find 6u + v. %3D Oi+ 19j 19i + j 19i + 6j 11i +j

A: Given:       u=3i, v=i+j

Q: Find the unit vector u in the direction of the vector v=3( 0, 5, 12 ). 52V U = OA. 1 u = V OB. 65 u…

A: Given:    Vector  v=30,5,12                 v=0,15,36   Unit vector U in the direction of vector v…

Q: Prove with a diagram the following: If e is a unit vector orthogonalto v, then e × (v × e) = (e × v)…

A: Cross product of 2 vectors A→ and B→ at angle θ is given by the expression A→×B→=|A→||B→|sinθ n^.…

Q: Determine: A. R in N. B. Unit vector of R. C. Direct Cosines of R. D. The three angles of R 900 kgm…

A: Given,

Q: Find the unit vectoru in the di rection of the vector v= 2( 5, 0, 12 ). 1 u = V A. 52 1 u = 26 В. 1…

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Q: Decompose v into two vectors,one parallel to w and the other orthogonal to w. v = 2i + j; w =4i + 3j

A: we have to decompose v into two vectors, one parallel to w and the other orthogonal to w. v = 2i +…

Q: Find the vector proj, u. v = 3i - j+ 3k, u = 2i + 10j + 11k %3D 0,一+店x k 19 i+ 22 15 19 19

A: Given : v = 3i - j + 3k, u = 2i + 10j + 11k   To find the vector projv u.

Q: Find a vector perpendicular to each of the given vector a = ßi +j+k ,b = 4i + aj – k. %3D |

A: Applying cross product we have

Q: Find the magnitude of the vector U = 9i + 12j. |U : %3D

A: If the vector is given:   w=ai+bj+ck   Then its magnitude will be:   w=a2+b2+c2

Q: Find the vector proj, u. v = 3j, u = 31 + 4k O A. O O B.ii 1 1 Oc. O D. 10

A: We have to find vector projection

Q: Find the unit vector u in the direction of the vector v=2( 3, 0, 4 ). 1 u = V O A. 15 1 OB. 25 1 U =…

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Q: Find a unit vector in the same direction as v = 2 V14 14 /14 O 1 3' 6 none of these 2 1. 1 7' 14'…

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Q: Find a unit vector orthogonal to both u and v.u = i − 2j + 2kv = 2i − j − 2k

A: Given  u = i - 2j +2k = < 1, -2, 2 >v = 2i - j - 2k = < 2, -1, -2 >

Q: Show all work to calculate the value of x that makes the two vectors orthogonal to each other. v =…

A: Orthogonal vectors: Two vectors a→ &  b→ are said to be orthogonal if they are perpendicular to…

Q: Find a unit vector orthogonal to both u and v. u = 3i + 5j + 2k 1 + -k % = 2 4 10

A: We have to find the vector

Q: 14. Find a vector perpendicular to both of the vectors * (ũ + v) and (ũ – v) where ủ = 2i – j + k,…

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Q: Find a unit vector orthogonal to both u and v. u = 8i - 16j + 4k v = 16i + 32j – 12k

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Q: Find the unit vector u in the di rection of the vector v=4 (2, 1, 2) 1 U = OA 1 U = 1 Oc. 12 OD. 1 u…

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Q: In Cª, find a unit vector ū that is a positive real number multiple of z = (1 – i, i, 2, 3+ 4i).

A: Introduction: For a given complex vector z=z1,z2,...,zn, its length is formulated as…

Q: What is the subtraction of Vector M from Vector T? M = 5 units T=4 units-

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Q: Find the unit vector in the direction of the given vector. 11. u = (-2,4) 12. v =(1, –1) 13. w = -i…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: Find a unit vector e, wherev (3, 6, 1). ey= 1. Submit answer

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Q: Find the vector projy u. v = k, u = 6i + 9j + 2k A. k 121 В. 2k 18 i+ k С. O D. 121 i+ 121 + 121 k

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Q: Find a unit vector orthogonal to both u and v. u = 31 - 2j - 5k V = +

A: Given: The given vectors are: u=3i-2j-5kv=12i-34j+110k To find: Unit vector orthogonal to both u and…

Q: Find the unit vector u in the direction of the vector v= 2( 5, 0, 12 ). OAU 65 U = OB. 13 OD. 26 52

A: v=2(5,0,12)v=(2*5,2*0,2*12)v=(10,0,24)Magnitude of the vector|v|=(10)2+02+(24)2=100+0+576=676…

Q: Let v be the vector The vector of length 3 in the opposite direction as v is 2 Select one: a. -2 O…

A: Vector v  = (1,2,-2) opposite direction to  given vector can be find as -v (-1,-2,2)

Q: 3. Find two unit vectors orthogonal to both j − k and i + j

A: We will find the two unit vectors orthogonal to j-k and I+j as following.

Q: Find the unit vectoru in the di rection of the vector v=4 (2, 1, 2). 1 u = u = В. 1 12 u = 1 u = 15…

A: v=4(2,1,2)v=(4*2,4*1,4*2)v=(8,4,8)Magnitude of vector|v|=(8)2+(4)2+(8)2=64+16+64=144=12unit vector u…

Q: Find a unit vector orthogonal to both u and v.u = 7i − 14j + 5kv = 14i + 28j − 15k

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Q: Find the unit vector that has the same direction as the vector v. 5) v = 5i + 12j A) u = 65i + 156j…

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Q: Find a unit vector orthogonal to both u and v.u = 3i + j v = j + k

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Q: Find a unit vector orthogonal to both u and v. u = -3i + 5j + 2k V + 1k 10

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Q: Find the length of the vector (V= 2 i+j -2k) O 5 O O 1.5 3 *

A: Explanation of the answer is as follows

Q: Find the real part of the length of the vector v° = (5 + i, –3 – i)

A: Use the given vector.

Q: A) Express the following vector as a product of its length and direction: v = 4i + 8j –16k

A: Recall: If v is a vector then length of the vector is v and direction v^ =vv.

Q: Find a unit vector orthogonal to both u and v. u = i + 2j + 2k v = 2i +j – 2k

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Q: Find the given vector. Unit vector ey where v = (9, 40) ev

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Q: Find the value of the magnitude of the vector v. (a) v = -3i+ 10j (b) v=4i-6j (c) - 2i-3j.

A: if a vector v=ai+bj then its magnitude v=a2+b2

Q: Determine a unit vector perpendicular to the both vectors A - 5i + 6j – 8k and B : - 2i + 5k. |0| =…

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Q: If a = i+ 4j + k and b = i + 8j + k, find a unit vector with positive first coordinate orthogonal to…

A: Given : a=i+4j+k and b=i+8j+k.