1) (10 points) Let a = -1i+2 + 2k and b = 2i − j + k. a) (3 points) Find a b b) (3 points) Find the angle between vectors ä and b

Q: Determine the angle between the given vectors. (а) а — 3і — 2ј, b %3 2i + 2j

A: a→=3i - 2jb→=2i + 2j

Q: Find the angles between the vectors: A= -2i+j-2k and B=2i-2j

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Q: If la| = v2, la + b| = v6 and la – b| = v2, find the angle between the two vectors å and b.

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Q: if vector AB=i+7j-4k and B is the point (9,3,5) find A

A: Let A=ai^+bj^+ck^B=di^+ej^+fk^ be twovectors.Then AB→=d-ai^+e-bj^+l-ck^

Q: Find the angle between vectors a= (-/2, 0, v2) and b = (-1,1,0). %3D

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Q: For what value of (a) will the vectors V=-4i-8j+ak, U=2i+4j-5k are parallel?

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Q: Let be two vectors, such that a=(3î+2j-2k) cm and b=(2î+2ƒ+k) cm, calculate: (A) C²=3(a¹·b¹)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: ulate the angle between the two vectors i +2j+ 3k and 3i - 2j+ k er your answer in the box below,…

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Q: Consider the vectors: u=(-2,6), v=(-3, –4), w =i+9j, and x=8i-6j.

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Q: (1) Let a and b denote two vectors. Try to prove (a x b)² = a²b² – (a · b)² (2) For the triangle…

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Q: 4 If a = 5i +4j + 2k, b = 4i – 5j + 3k and c= 2i – j- 2k, where i, j, k are the unit vectors,…

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Q: The projection of the vector 11i + Aj in the direction of the vector i+3j is the vector 2i+6j. What…

A: To find the value of A for which  Projection of vector (11i + Aj) in the direction of the vector (i…

Q: Sketch the vectors = (2, 3,-6) and w = (-1,1,1) and draw -U, v + w and 7 - w.

A: The given vectors are

Q: how is C equal to the difference of vectors A and B?

A: Dear user, Please read the question. We need to express Vector A in terms of sum of  B and C.

Q: 27-j+4k sī +2j-2k.

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Q: (a) If a = 6i- 8j and b = i + 3j, find â and b. (b) OA = (3) and OB = (_). Find the unit vectors…

A: Some vectors are given. Based on this we need to answer some questions.

Q: What is ê x (î × (î × (î + x)))?

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: Determine if the given vectors in the picture are orthogonal, parallel or neither.     *Please go…

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Q: Write each vector in component form. 22) r-8i + 3j + 5k A) (-2, -7, -8) C) None of these E) (-4,-7,…

A: As we know that; The vector r=ai+bj+ck can be written as in component form: x,y,z=a,b,c

Q: 1. Let a = 2i + 5j+ 8k and b = 2i + 6j + 9k. Find (a) a unit vector in the direction of a; Answer:…

A: This is the problem of vector calculus.. we will solve each part in next step

Q: For the given vectors: a = (-2, 3), b = (1,–2), č = (2,2), find: (a) 2a – 35 + č (b) angle between…

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