For vectors vec (AB) and vec (CD), determine if they have the same magnitude. A(11,-11) and B(8,-4) C(5,2) and D(12,-1)
Q: Find the magnitude of vector PQ ,where P(2,29) and Q(-2,-1).
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Q: Find a vector of magnitude 8 in the direction of i = (-4, –6, –1). Vector is Find a vector of…
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Q: Consider two vectors ā = 4i – 5j + 2k and b = -2i + 2j + 7k. Find (a) ä + b (b)ā – b, and () a thicd…
A: Given vectors are a→ = 4i^-5j^+2k^b^ = -2i^+2j^+7k^
Q: The unit vector from A(4, 2) to the point B(-2, 10) is:
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Q: A = (2, -4) and B = (-3,3). Determine the distance between points A and B and find their polar…
A: Two points given in the xy plane A = (2, -4) and B = (-3,3) Find: Distance between the A and B…
Q: find its magnitude and direction (r,θ)
A: The given vector can be represented as, Here, rx and ry represent the vector’s x-component, and the…
Q: Given vectors: A = 3 i + j – k, B = - i + 2 j + 5 k, C = 2 j – 3 k. Find: 1) C ٠ (A + B) 2) C x…
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Q: Vectors A→A→ and B→B→ both have a magnitude of 8. If their resultant has a magnitude of 10, what is…
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Q: Given the vectors: A =1i+2j+3k; B = -2i+5k; and C = -7k (i) Find A + B (ii) A-C (iii) A * B
A: Given, A→=i^ + 2 j^ + 3 k^ ;B→=-2 i^+ 5 k^ ;C→= - 7 k^ We have to evaluate: (1) A→+B→ (2) A→-B→…
Q: For the vectors u=i+3j+2k and v=2i−2j+2k calculate projvu and scalvu
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Q: You have four metal bars. When bar 1 is placed in a line with each of the other three bars, the…
A: Bar 1 attracts all other bars but when the 4th bar is flipped, bar 1 and bar 4 repels each other.…
Q: Find a) the position vector rAB from point A to B and b) the position vector rBA from B to A.
A: Given data, Point A (3,4) Point B (11,10)
Q: Find a vector of length 2 in the opposite direction of the displacement from P,(-2,3,5) to P,(3,5,-…
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Q: For the vectors A=8.94i +6.93j-17.9k, B=7.67i-6.06j+10.2k, and C=6.25i-3.34j-9.61k, find C(A-B).
A: The difference vector between the two vectors is,
Q: Determine the magnitude and direction cosines of the position vector from the point P(2, 1, – 5) to…
A: Given : P(2, 1, -5) Q(1, 10, 1)
Q: If the vector Kâ- +Lây+ M â, shows the maximum increase rate and direction of the scalar V at point…
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Q: Calculate the magnitude and direction angle (in degrees) for the vector v: <-7,3>.
A: The objective of the question is to find the magnitude and direction angle of the vector v: .
Q: Let vectors A⃗=(2,−4) A → = ( 2 , − 4 ) and B⃗=(−3,1) B → = ( − 3 , 1 ) . Calculate the following:…
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Q: Given the points A: (2,-1,1) and B (0,-1,-3), find the vector u = vector AB.
A: The objective of the question is to find the vector u = AB given the points A: (2,-1,1) and B:…
Q: Show that the vectors a = 2i+4j−8k, b = 3i−j+3k and c = −5i+11j−25k are coplanar.
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Q: are orthogonal.
A: Given that, A=4-3-25 and B=150k The condition of the orthogonality of two vector is given as, A⨥B=0
Q: Consider the vectors: A = 2î + 5j. B = 5i + 4j, and C = A - B. What is the direction of C , measured…
A: Here we have to subtract B from A component wise. C vector is coming out to be in 2nd quadrant. So…
Q: Consider two vectors A and B shown in the figure. The difference B A is best illustrated by B (a)…
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Q: Three points, A, B, and C, exist on an XY-plane. The positions of points A and B are (3,1) and…
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- a certain corner of a room is selected as the origin of a retangualr coordinate system. A fly is crawling on an adjacent wall at a point having coordinates (3.8, 0.5), where the units are meters. what is the distance of the fly from the corner of the room?A vector that is orthogonal (perpendicular) to both vectors a =(4,-3,-5) and b =(7,-7,-9) is: Hint: Vectors and we are orthogonal if and only if vw=0. 0(-4,-7,1) 0 (-1,7,-5) 0(-7,-6,-2) o(-7,4,-8) 0 (8,-1,7) OSuppose that you have two vectors (1,0,0, 1) (2,0,0, 2) What is a"bµ?
- These are the component forms of vectors u and w: ū u = (1, 1) w = (2,4) Subtract the vectors. ū - w = ][Let vectors: A=(1,0,−3) B=(−2,5,1) and C=(3,1,1). Calculate A×(B×C) Calculate A⋅(B×C) Calculate (2B)×(3C)Let vectors A⃗=(2,−4) A → = ( 2 , − 4 ) and B⃗=(−3,1) B → = ( − 3 , 1 ) . Calculate the following: What is the angle θAB θ A B between A⃗ A → and B⃗ B → ?
- Use the vectors m, n, p below to fid the following, Leave answers in exact form. m = (4, 5); n = |2i - 5j|; p = (-8, -2) find ||2p -n||Give a vector parametric equation for the line through the point (5, 3,0) that is parallel to the line (-3 – 4t, 5t – 2, 5 – 4t): L(t) = (Enter your answer as )Consider the vectors A=<1,2,3>, B=<-2,1,0>, and C=<0,3,1>. (a)Find the angle between A and B. (b)Find the component of A in the direction of C.