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

Q: Find the vector v with the given length and the same direction as u.||v|| = 4, u = (−1, 1)

A: To find a vector v with the given magnitude of ||v|| = 4 and in the same direction as u = (−1, 1).

Q: If a = i+ 3j +k and b = i+ 9j +k, find a unit vector with positive first coordinate orthogonal to…

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Q: Find the unit vector e, if i = ( – 2, 2) ey =

A: Given: v→=-2, 2 To find the unit vector ev→ The formula to calculate unit vector is ev→=v→v→

Q: Find the angle between the vectors. (First: v = -21 exact u = i- 6j + k, approximate xx x +

A: topic:- vector algebra

Q: Find a unit vector in the direction of the given vector: 4 Soloc

A: Given vector: -442 Since, we know that unit vector in the director of vector xyz is defined as…

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

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Q: and notm ind the unit vector of V= 31 +5j -9k.

A: Given: v=3i+5j-9k To find: Unit vector of v Norm of v

Q: (A) Find the vector that is Normal to: A = 2i + 3j +k and such that it is lies in the plane…

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Q: Find the cross product x . Is the resulting vector perpendicular to the given vectors? O ; yes O ;…

A: Vectors < -1, -3, -8 > and < 7, 4, -5> . To find cross product.

Q: If a = i+ 2j +k and b = i+10j + k, find a unit vector with positive first coordinate orthogonal to…

A: The vectors are given as , a→=i^+2j^+k^ and b→=i^+10j^+k^ find a unit vector with positive first…

Q: When analyzing the vectorĀ = 2i – j + 3k To the sum two vectors, the first is parallel to the vector…

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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…

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Q: 3 Give the position vectors of A, B, C, D and E relative to O for the diagram below. B D-

A: In geometry a position vector so known as location vector. Here we find position vector relative to…

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

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Q: 3) Find the components of the vector i that has a magnitude of |0| = 9750N and direction 0 = 243.0°-…

A: Find the components of vector v. |V| = 9750 θ= 243.0o

Q: Find a vector v parallel to u=4i−3k and with magnitude ||v||=4

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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: Which of the following vectors is equivalent to the vector with magnitude 2 units that is oriented…

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Q: Find a vector and unit vector perpendicular to each of the vector A + B and A – B,

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Q: Find the given vector : Unit vector e making an angle of 4π/7 with the x-axis

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Q: Find the magnitude of the vector AB A=(4, 1) and B=(-3,0)

A: Given that, A = (4, 1) B = (-3, 0) We have to find the magnitude of the vector AB.

Q: A. Give the Cross products of the unit vectors (i, j, k).

A: Understanding of cross product of three vectors are required to under this.

Q: Find the magnitude only for the vector from T(-2, 6, 1) to U(10, -3, -4).

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Q: Find vector c = 3u – v, if u = and v =.

A: Given u = 2i - 7j + 3k and             v = 0i + 4j -  k = 4j - k Now vector c = 3u - (1/2)v c = 3(2i…

Q: Find the magnitude of the vector AB A=(2, 7) and B=(5, 9)

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Q: For what value of t if any, is the vector 5t, 1] parallel to the vector (4, -1) ?

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Q: Find the median AD of the triangle ABC where positive vectors of the vertices A, B and C are…

A: Vertices of the Triangle ABC given A=i+j,B=4i+6j,C=i-j; Hence, We can take these vectors as the…

Q: Find the components of the vector ī, with |u| = 7.8 and 0 = 21.3°.

A: Given: To Find:  The components of given vector  Formula Used: The components of vector v with…

Q: Given the points X(1, -2, 1) and Y(0, 3, -2), find a vector that is collinear with XY and has a…

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Q: If a = i+ 2j + k and b = i+ 5j +k, find a unit vector with positive first coordinate orthogonal to…

A: Given that     a = i+2j+k and b = i+5j+k We have to find a unit vector with positive first…

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

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Q: If a = i+ 10j + k and b = i+ 11j+ k, find a unit vector with positive first coordinate orthogonal to…

A: Vector cross product of given two vector  is orthogonal to two given vector

Q: Let v = -4i + 3j. Find a vector that is half the length and points in the same direction as V

A: Given vector v=-4i+3j. To find: A vector  that is half the length and points in the same direction…

Q: Given the points X(1, -2, 1) and Y(0, 3, -2), find a vector that is collinear with XY and has a…

A: Given: X(1, -2, 1) and Y(0, 3, -2).

Q: Find the magnitude of the vector AB A=(0, 7) and B(-24,0)

A: Given : A = (0, 7) and B = (-24, 0)   To find the magnitude of the vector AB.

Q: Which vector has the smaller magnitude: u = 3i - j - k or v = 2(i + j + k)?

A: Our Aim is to tell which vector given below has the smaller magnitude u⇀=3i-j-k and v⇀=2i+2j+2k.

Q: Find the value of a in the vector i = (a, b) if b = 48 and ||ū|| = 50 %3D v is in Quadrant I

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

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Q: What value(s) of a are necessary for vectors i = (2, a), and w = (4a, 3) to span R?

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

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Q: If a = i+ 3j + k and b = i+9j + k, find a unit vector with positive first coordinate orthogonal to…

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Q: Let v=5i+2j. Find a vector that is twice the length and points in the opposite direction as v.

A: This is a problem related to vector. Based on the general formula and concept we will answer the…

Q: Find the angle between the vectors u and v to a nearest degree: u = j + k, v = i + 2j – 3k

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Q: / Let v = -4i + 3j. Find a vector that is half the length and points in the same direction as v

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Q: R) Find the area of a triangle formmed from the two - = c'+2j=k-- - 2i-jtuk. Vectors-a- 6 = 2i-j+4k,

A: Given: a=i^+2j^−k^b=2i^−j^+4k^