B. Find a vector has length 10 in the direction of vector V=< 3,-6,15 >.

Q: Find a unit vector that is orthogonal to both u and v for u = and v = .

A:

Q: Find a vector, AB , with magnitude 4 in the direction of PQ where P and Q have coordinate (5,0, 8)…

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Q: The vector with length 4 and direction k is Di+Di+ j+ k.

A:

Q: Find the unit vector that has the same direction as the vector v = 6i.

A: For the vector ai∧+bj∧unit vector is given by ai∧+bj∧a2+b2

Q: Find c so that the vector v is orthogonal to W = ||

A: Given: v=1c. w=2-1 Vector v and w are orthogonal only if the dot product of vectors is zero.

Q: Consider the vector v = (x, 2) in R2. If you rotate the vector by 90-degrees counter-clockwise, then…

A:

Q: Find the given vector : Vector of length 3 in the direction of v = 4i + 3j

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Q: Let å = . Find a unit vector in the direction of å

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Q: A unit vector in the direction of the given vector is

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Q: Find the unit vector that has the same direction as the vector v. 31

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Q: O Find a unit vector (a vector with length 1) that has the direction of 3 2

A: Given below the detailed solution

Q: Find a vector of magnitude 3 in the direction opposite to the direction of v = i+j - k.

A: here we use the formula , v→=-v→v→

Q: Let b be the vector of length 35 that when drawn in standard position makes a 290° angle with the…

A: Given : length of vector b=35 ⇒b=35 Also, b makes angle 290° with positive x axis. So, b=b1i+b2j,…

Q: The vector which has length 2 and direction opposite to u?

A: We have the given vector as u=-122   We have to find a vector that has length 2 and direction…

Q: Let ā= . Find a unit vector in the direction of a

A:

Q: Find a vector that is oppositely directed to v = with a length of 4

A:

Q: Find a unit vector in the same direction as a= i + j.

A: Unit Vector is represented by the symbol ‘^’, which is called a cap or hat, such as: a^. It is given…

Q: Find a vector of magnitude 3 in the direction opposite to the direction of v = ± i + ±j - k.

A: Let u be the vector to be found. To find u, first we need to find the direction of the vector v. To…

Q: Find a unit vector in the direction of v = .

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Q: Find a unit vector u with the same direction as vector v =

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Q: Find the vector of length v7 in the direction of AB + AC

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Q: Find a unit vector that has the same direction as the vector 87 – j + 4k.

A: Find a unit vector that has same direction as the vector 8i- j+ k.

Q: Find the unit vector in the directions of v, where Ans = %3D

A: To find unit vector in the direction of v, divide it by the length of v.

Q: Show that the vector v = ai + bj is perpendicular to the line

A: GivenVector V = ai + bj and the line ax + by + c

Q: Consider the vector v = (2, y) in R?. If you rotate the vector by 90-degrees counter-clockwise, then…

A: Given,   v=2,y   in ℝ2.

Q: Find a unit vector that has the same direction as  4i − j + 8k.

A: we have to find a unit vector that has the same direction as 4i-j+8k let the given vector be a→…

Q: 1. Describe the vector that translates DEF to D'E'F'.

A: Given,          The vector that translates DEF to D'E'F'.

Q: and the unit vector along the direction of u.

A:

Q: If the wind is blowing at 12 mi/hr in the direction N40°W, express its velocity as a vector v.

A: Given the wind is blowing at v=12 mi/hr in the direction of N40°W as shown below:

Q: Define the points P(-4, 1), Q(3, -4), and R(2, 6).

A: Given P-4,1, Q3,-4, R2,6 To find the unit vector with the same direction as QR→

Q: 3 Compute the length of the vector v =

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

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Q: Let å = . Find a unit vector in the direction of a

A: Givena→=⟨4,−3,−4⟩

Q: Let a 5? ER be vectors, Using ouly vector geome trk dechaiqnes, frove thaf geenne (+)+ご + で+) 07

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Q: Find a unit vector perpendicular to i-j and to i +k and with a positive k component.

A:

Q: (b) Find a vector i that is parallel to ↑ and perpendicular to L.

A: As per your demand, we solve part b) only

Q: Find the magnitude of the vector u =

A:

Q: Find a vector in the direction opposite that of v = (1, –4) with magnitude 5.

A: The vector in the opposite direction of v will be -v. Then make that vector a unit vector and then…

Q: Find a vector that is oppositely directed to v = with a length of V3

A: We have to find the vector by given data

Q: What is the magnitude of a vector joining two points P(x1, y1, z1) and Q(x2, y2, z2)?

A: The two points  are : P(x1, y1, z1) and Q(x2, y2, z2). As the vector is directed from point P to Q ,…

Q: Find a unit vector that has the same direction as the given vector. 7i - j+ 5k i + j+ k

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Q: Let ā = . Find a unit vector in the direction of a

A: For any vector a→, the unit vector in the direction of  a→ is a→a.

Q: What is the magnitude of the Vector PQ. P=(1,11) and Q= (9,3)

A:

Q: Find the unit vector in the direction of v and verify that it has length 1. v = ⟨3 /2, 5/ 2⟩

A: Given vector is v=32,52. To find the unit vector in the direction of v and to verify that it has…

Q: Assuming vector B is 12 units long, vector 4B is:

A:

Q: Find the given vector. Vector v of length 4 in the direction of = (-4, -4)

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Q: Give a vector description of the midpoint M of a line segment AB→.

A: GivenLine segment AB→To find vector description of midpoint of AB

Q: Find the angle a between the vectors L3] and]

A: Find the angle between vector s