Problem no 1: Find sum, difference and scalar and vetor product of vectors u = [-4,6], w = [0,4]. Draw and calculate.
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A: Solution:- Correct options is When the two vector s are perpendicular
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A: Given: v→=-10i^-j^w→=-i^-10j^ Required: The dot product between the vectors and the angle between…
Q: The components of two vectors are A = -2.0, Ay = -5.0, Az Find the angle between them: -4.6, B, 4.2,…
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Q: Given the pair of vectors, A = (9.0oî – 2.00ĵ ) and B = (-2.00î + 7.0oj ), use the definition of a…
A: A→ = (9i^ - 2j^) B→ = (-2i^ + 7j^)
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Q: Vector A = 5.1 i + 4.9 j. Vector B = 6.9 i + 3.7 j. The dot product of the two is C = A ∙ B (i.e. A…
A: Given that: A = 5.1 i + 4.9 j B = 6.9 i + 3.7 j To determine: C = A ∙ B
Q: Vector A = 7.2 i + 2.6 j. Vector B = 7.5 i + 7.4 j. The magnitude of the cross product i.e. |AxB|…
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- A vector a of magnitude 14 units and another vector b of magnitude 4.2 units differ in directions by 31°. Find (a) the scalar product of the two vectors and (b) the magnitude of the vector product à x b. (a) Number i (b) Number i Units UnitsUse the definition of scalar product, a b = ab cos 0, and the fact that a b = axbx + ayby + a₂b₂ to calculate the angle between the two vectors given by a = 4.01 + 4.0 + 4.0k and b = 4.01 + 7.0 +6.0k. Number i UnitsEvaluate the dot product A - Bif Ä = 8i – 7j and B = -8i – 5j. ? Ä- B = Submit Request Answer Part B Evaluate the dot product Ä · B it Ä = -8i +8j and B = 5i + 7j. ? A ·B =
- 8) A vector ä of magnitude 10.0 units and another vector b of magnitude 6.00 units differ in directions by 60.0°. Find (a) the scalar product of the two vectors and (b) the magnitude of the vector product āxb.Using the definition of dot product: A B = ABCOS (0AB) = AxBx + Ay By + A₂B₂ Find the angle between the following vectors: (c) A = 1î + 3j+0k B = 3î + 1) + Ok A = 1î - 3j + 2k B = -31 + 1) + 0k (b) (d) A = 1î + 1ĵ + Ok B = 21-3j+0k A = 21-5j-1k B = 3î + 11 + 3kWhen the vector C⃗ is summed with the vector B⃗, the result is 9i ^ + 5j ^. Subtracting the vector B⃗ from the vector C⃗ results in 4i ^ −j ^. According to this: a) Show the vectors B⃗ and C⃗ in the unit vector notation. b) Determine the magnitude and direction (angle between C⃗ and the positive x-axis) of the vector C⃗. c) Find the scalar product (B⃗ .C⃗) of the vectors B⃗ and C⃗.
- Vector A has a magnitude of 4 m and lies in the xy plane directed at 45 degrees counterclockwise from the positive x axis, whereas the vector B has a magnitude of 3m and lies in the yz plane directed at 30 degrees from the positive z axic. Find the cross product A x B and the angle between the vectors.8) Consider two vectors À and B where: A = -6.00 ¢ + 3.00 ¡ + 3.00 k B = 6.00 1 - 8.00 ¡ + 4.00 k If we want to find the angle between these two vectors, we have two options: we can use the magnitude of the dot product, or the magnitude of the cross product. À • B = AB cos(e) A x BI = AB sin(e) However, these approaches give conflicting answers for the value of e. a) What is the correct value of theta? b) Why does the other formula give the wrong answer?A vector a of magnitude 17 units and another vector b of magnitude 8.5 units differ in directions by 72°. Find (a) the scalar product of the two vectors and (b) the magnitude of the vector product a×b.
- Given the pair of vectors, A = (9.00î − 5.00ĵ ) and B =(−3.00î + 9.00ĵ ),use the definition of a scalar product to determine the following. (a) the scalar product (b) the angle between the vectors (Enter an answer between 0 and 180 degrees.) ° (c) the angle ? between the vector A and the +x axis (Enter an answer between 0 and 180 degrees.) ° (d) the angle ? between the vector B and the +y axis (Enter an answer between 0 and 180 degrees.) °What is the dot product of two vectors A = 2x + 4 y + 7z and B = -3x + 8y - 2 z where it is understood that A and B are 3 dimensional vectors, and x, y, and z are vectors of length 1 along the x, y, and z axes. A scalar +12 A scalar +16 A vector perpendicular to both A and B A vector 6x +32y -14zEvaluate the dot product A - Bif A = 2i +7j and B = 7i – 5j. ? A-B= Submit Request Answer Part B Evaluate the dot product A - Bif à = 2î – 7j and B = 5i +7j.