Consider vectors A = -51 + 2ĵ and B = 6î – 5j. Now answer the following questions
Q: A car has mass 600 kg and velocity 100 m/s. Then what will be its momentum
A: Given: mass m = 600 kg. Velocity v = 100 ms To determine: Momentum P Formula used: P = mv Momentum…
Q: Scalar or dot product of vectors O i+2j+ -9 k and 1i+ 9j+2k is: Answer:
A: Given that two vectors and We have to determine the scalar or dot product of the given vectors.
Q: The two vectors (3 m) – (7 m and (2 m + (3 m – (2 mk are in the same plane.. Which of the following…
A: Let A and B denote the two vectors in the same plane and C denotes the cross product of these…
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: The scalar product of two vectors, A and B, is –7.5. If vector A is given by (3i - 4j) and the…
A: Given : Scalar product (A . B) = -7.5 Magnitude of Vector B ( |B| ) = 4.0 Finding the Magnitude of…
Q: Consider the two vectors shown below. The two vectors have magnitudes of IAI=20|A→|=20 and…
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Q: Find the angle between each of the following pairs of vectors (1) A = 3.00i + 5.00j (2) A = -4.00i +…
A: 1) A→ = 3i^ + 5j^B→ = 10i^ + 6j^
Q: Calculate the magnitude of the sum of the three vectors: A = 105 N at 35 degree, B = 164 N at 125…
A: A = 105 N at 35 degree B = 164 N at 125 degree And C = 183 N at 208 degree Magnitude of resultant…
Q: Th unit vector from the origin {i.e. the point (0,0)} to the point B (3,4) is:
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Q: (b) Given, r, = 5i + 12j-8k, r, 6i-9j + 9k and r, = 4i + 3j + 7k. Find the magnitudes of 3r, + 4r,-…
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Q: Consider the vectors a = i + 8j + 4k and b = 7i − 6j − 6k, where i, j, and k are…
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Q: Find the angle between the vectors u = <1,2> and v =<4,-1> in degrees
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Q: Find the angle 0 between the given vectors to the nearest tenth of a degree. U = 9i – 7j,V = 12i –…
A: Solution:-Given thatU→=9i^-7j^V→=12i^-2j^
Q: A = 5i + 2j B = 2i-3j + 2k C = 3i + k Which of the following is the result of the A-B + C operation…
A: A=5i+2jB=2i-3j+2kC=3i+kA-B=5i+2j-2i-3j+2k =3i+5j-2kA-B+C=3i+5j-2k+3i+k…
Q: Consider two vectors Å = -5î – 3j + 2k and B = -8j - 2k, find the angle between vectors Å and B.
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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: Consider the vectors a = i + 8j + 4k and b = 7i − 6j − 6k, where i, j, and k are…
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Q: Find (Äx C) · (Č×B) given the following vectors: Ả = 21 + 5J B = -31 – 1+ 2k Ĉ = 1 + 4J ... Hide…
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Q: Consider the vectors A = 2.0i - 4.0j + k, B = 3.0i + 4.0j + 10.0k, C = -3.0i - 4.0j, D = -3.0i +…
A: The vectors are
Q: Here are two vectors: A = 4.0i + 3.0 - 2.0k, B = -5.01 +3.0 +2.0k. What is 3B. (2Ã × B)? 19 00 O-14…
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Q: What is the angle between the two vectors i + 2j - 3k and 3i + 2j + k? Round your answer to the…
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Q: Find the sum of two vectors Á and B lying in the xy plane and given by A = (2.0i + 2.0j) and B =…
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Q: A = 3.00î + 5.00ĵ and B = 10.00î + 6.00ĵ %3D
A: Answer : The angle between these two vectors is ∅= 28.072°
Q: Given vectors P=(3 m, 4 m) and Q=(4 m, 3 m), find the angle of P + Q.
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Q: The vectors ā, b and čare not planar. The a', & and d are the associated reciprocal vectors given by…
A: Simple problem based upon the topic scalar triple product (vector calculus). Please have a good look
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 three vectors A = 15.3i + 1.7j, B = 9.5i + 9.1j, and C = -2.7i - 11.4j. What is the result…
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Q: Consider the vectors a = i + 8j + 4k and b = 7i − 6j − 6k, where i, j, and k are…
A: Given that: The vector a is a=i+8j+4k The vector b is b=7i-6j-6k It is required here to calculate…
Q: For the vectors A = 2? •38, B= 39- 5 2, and find: %3D - (a) V = A B+C (b) V (C) V
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Q: Vectors A and B are given by: A = 90.32i + 46.07j B = 4.43i + 98.29j Find the scalar product AB.
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Q: A vector that is orthogonal (perpendicular) to both vectors a =(4,-3,-5) and b (7,-7,-9) is: Hint:…
A: We are given 2 vectors. We know that the cross product of 2 vectors gives us another vector. This…
Q: Two vectors are given by A = 3i – 23 + 4k and Ảx B. B = 6j – 2k. Ignoring units, calculate
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Q: Given two vectors: M = -31 + 6j – 5k and N= -2î + 3j + k The expression 2Ń - M is: (A -12i- 36j +…
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Q: These are the component forms of vectors u and w: ū u = (1, 1) w = (2, 4) Subtract the vectors. ū -…
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Q: Find 2 unit vectors orthogonal to both u = <4,-2,3> and v = <0,3,7>.
A: The objective of the question is to find two unit vectors that are orthogonal (perpendicular) to…
Q: The scalar product A B of the two vectors A = 2i + 3j and B = i– 2j is * O -4 k O 2i - 6j 8 k
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Q: For the following three vectors, what is 3 · Ć · (2Á × B ) ? = 4.00î + 3.00ĝ – 4.00k B = -3.00î +…
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