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

Q: 7. Draw a vector representing the following velocity. 50 cm/sec N30°w

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Q: Find the angles between the vectors to the nearesthundredth of a radian. u = 2i + j, v = i + 2j - k

A: Now,

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

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Q: Find the unit Vector e(subv) where v=(2,2,1)ev=?I appreciate the help in advance

A: Formula used:Unit vector in direction v is

Q: Find a vector v whose magnitude is 4 and whose componentin the i direction is twice the component in…

A: Given: magnitude of the vector  is 4  The component of the vector  in the i direction is twice the…

Q: The angle between two unit vectors e and f is π/6 . What is the length of e × f?

A: The angle between two unit vectors e and f is π6.

Q: A vector of 2 unit length parallel to vector 2i + 2j+k is:

A: We know a vector consists of magnitude and direction as we have to find the direction parallel to…

Q: In the figure, a vector a→ with a magnitude of 24.1 m is directed at angle θ = 68o counterclockwise…

A: Given that: Magnitude of a→ =24.1mAngle of a→ w.r.t. coordinate axes: θ=68°Angle of primed…

Q: Find the magnitude of the vector and the angle 6,0° <0<360°, that the vector makes with the positive…

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Q: The unit vector perpendicular to the vectors n1= i-j+3k ,n2=2i+j+3k is a vector?

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Q: is The unit vector in the direction of v=(4,0,–3)

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Q: Find the vector that makes equal acute angles with the positive coordinate axes and has length 2. O…

A: An acute angle is an angle that measure is less than a right angle (90 degrees). The magnitude of a…

Q: The angle u= between the two vectors \(\) and U= is equal to 0=T

A: We know that angle between two vectors is given by θ=cos-1u→·v→uv Here, u→=-4,2,1 and v→=-20, 10, 5.

Q: Find the vector whose magnitude is 5 and which is in the direction of the vector 4i- 3j + k. Q.2

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: Find a unit vector in the direction of the given vector. Verify that the result has a magnitude of…

A: See below

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

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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: Find a vector v whose magnitude is 6 and whose component in the i direction is four times the…

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Q: The angle between the vectors i + 2j + k and 3i+ j - 5k is

A: Given: Let, A=i+2j+kB=3i+j−5k

Q: Find the cross product of the unit vectors. jx i

A: Topic :- Vector

Q: Find the x-component of this vector: 47.3 m 39.4° Remember, angles are measured from the +x axis.…

A: To find:- x and y components of given vector in figure

Q: 45° |C|=20 Find the EXACT components of the vector above using the angle shown.

A: |c| = 20 It have two component in horizontal and vertical direction.

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 the unit vector that has the same direction as v = 2i + 2j−k.

A: To find the unit vector for any vector v=ai+bj+ck, the formula v=a2+b2+c2 can be used. This formula…

Q: i +j +k andi – j -k.

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

Q: For what value of m, the vector 4i + 2j – 3k and mi – j + V3 k have same magnitude?

A: Given Data: Vector 1: x1i+x2j+x3k=4i+2j-3k Vector 2: y1i+y2j+y3k=mi-j+3k The magnitude of vector 1…

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

A: Given vector is v→=4i+8j−16k. We have to express the given vector as a product of its length and…

Q: If u and v are orthogonal, what is the magnitude of u × v?

A: We define the cross product of any two vectors as :                            |u×v|=|u||v|sinθ…

Q: find the magnitude and angle in which the vector points (measured ive x-axis, 0 < 0 < 2n)

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Q: If r is equal to 300 mm, Find: 1.) Rectangular form of r in ft 2.) Unit vector of r

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Q: -) THREE VECTORS A, B, AND C ARE RELATED AS FOLLOWS ! A AT 180°, A +C =-5+j15, 2 C = CONJU GATE OF…

A: Solution :-

Q: Find the unit vector in the same direction as v. v= 4i -j

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Q: Find the magnitude of the vector y = 2i-2i. v =

A: Given,           v=2i-2j

Q: The vector i +bj-k is perpendicular to the vector I +2j-3k. what is the value of b?.

A: We know that if two vectors are perpendicular to each other then there dot product is zero. Given,…

Q: Find the area of the parallelogram that has the vectors as adjacent sides.u = i − j + k, v = i + k

A: Given vectorsu = i-j+k , v = i+kArea of parallelogram is equal to u x v

Q: 1. Find the angle that the vector V = makes with the positive x axis.

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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: Which vector is not collinear with [c, d]? O [2c, 2d] O(-c, -d] O [10c, 10d] O [d, c]

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Q: 2. Give the components for the velocity vector of a boat that is moving 50 km/hr toward the…

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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 the angle between the vectors i + j + 2k and 2i - j +k

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Q: Find unit vectors Parallel to the YZ Plaane and PerPendicular to the Vector V = 51-j+2k ?

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Q: Find a vector v whose magnitude is 6 and whose component in tho i direction is twico the component…

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Q: Find the unit vector in the same direction as v = 5i - 12j. Then verify that thevector has magnitude…

A: Unit vector in same direction vectorvector's magnitude

Q: Find the unit vector that has the same direction as the given vector. −3i + 7j

A: Given data: The given vector is a=-3i+7j. The modulus of the given vector is, a=-32+72=9+49=58 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: (d) Explain why each vector VER can be expressed in precisely one way as v u+w, where u ES and w ES.

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Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.