Q1) Let a= 2 1 a) Compute a·b а. b) Find a unit vector u in the direction of a. c) Is a and b orthogonal vectors? d) Find the distance between a and b.

Q: Which ONE of the following formulas involving vectors a, b.c, a # 0 is meaningless? A. B. Oc. (a…

A: We have to find which formulas involving vectors  a→,b→,c→ and vector a→ does not equal to zero…

Q: Write the vector a=i−4j as the sum of a vector parallel to b=j+k, and a vector perpendicular to b.

A: Express vector a as sum of two vectors one is parallel to vector b and one is perpendicular to b.…

Q: Determine whether the vectors u = and v = are perpendicular.

A: As we know that if the dot product of two vctors is zero then we can say that the vectors are…

Q: A=-i+2j-2k, B =2i+j-k and C=i+2j+3k vectors are given: a)Find the vector R1 = A+2B-C  b)Calculate…

A: Given A= - i + 2 j - 2 k B = 2 i + j - k C= i + 2 j + 3 k  To evaluate, a)Find the vector R 1 = A +…

Q: Let ū= 2 + 2Ĵ - 2k and J = 2î - 2Ĵ + k. + Verify that the vectors i and I are perpendicular and have…

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Q: Construct the vectors a = 3k - 2j and b = 3i - 2j and c = ax b. Compute the absolute value of the…

A: Given data : a⇀=3k-2jb⇀=3i-2j To calculate c=a×b The value a×b=ijk0-233-20

Q: 3a) Use the cross product to determine a unit vector that is perpendicular and in the opposite…

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Q: 2. Find the unique unit vector that bisects the angle between ī = 31 + 43 and w = 51 – 127.

A: The angle bisector is determined by the formula,

Q: 3. Calculate the angle (degrees), between vectors p = 2i +9j – 4k and q = -3i + 5j + 6k correct to…

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Q: 2) Express the resultant vector as a linear combination of unit vectors i and j and find the…

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Q: Consider the vector a = i + 2j-2k. Introduce a vector such as b such that: A) The length of the…

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Q: 2 -a) Find a unit vector perpendicular to the plane that passes through the points P(1,4, 6), Q =…

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Q: 2) Let A, B and C coordinates. Find: a) The calculate a mixed product of vectors (5a, -b, 3c). b)…

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Q: Resolve the vector a = -i+ 4j+9k into orthogonal vectors, one of which is parallel to b =i- 3j – k.

A: Given vectors are a→=−i^+4j^+9k^ and b→=i^−3j^−k^. Here, we using the concept of projection . We can…

Q: Compute the Euclidean distance between the vectors u and v, below 1 -3 = 2 - Q - Q 1 = -2 distance =…

A: Problem 1:Distance=1 Problem 2:Distance= 70​Explanation:Step 1:Step 2: Step 3: Step 4: