Given vector field A = 6ax + 7 ay - 5 az and B = 2 ax - 3 ay + 7 az . Find  (i) The projection of the vector B on A.      (ii) Prove that commutative property does not hold for Cross product of vectors taking above vectors A and B

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A: The cross product of two vectors is perpenducular to both of the vectors. The cross product of the…

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A: We have to find the scalar projection of a in the direction of b.

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A: Question- Compute the resultant of the position vectors for the points (2,4,3) and (1,-5,2) of a…

Q: Let a = (6, −3, −5) and b = (7, -2, 10) be vectors. (A) Find the scalar projection of b onto a.…

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Q: 2. Consider the two vectors in R³ with components u = (2,-1,-1) and v = (-2,1+ √√3,1-√3). (a) (12…

A: Step 1: Step 2: Step 3: Step 4:

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A: The detailed solution is as follows below:

Q: . Consider the following vectors 7 -3 b₁ ( 1 ), b₂ = (-1), G₁ = ( 1 ) ₁2 = (-²). C1 , 5 2 and…

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A: We can solve the problem problem using concept of vector.

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A: The vectors are given by÷

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Q: Let X=(1,-3)t be the transpose of vector (1,-3). If you rotate X by angle of π/3 what are the…

A: The transpose component is X=1, -3t

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Q: - 16] [1] Determine whether the vector v =| 17 |is spanned by the vectors and | 2 or not. 18

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Q: Draw the vectors in standard position in R2 with their tails at the point (2, -3).

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Q: Consider A= (0, 4, 2), B =, (6,-1,0) and C = (3, 0, 1). 1 (a) Find the unit vector having the same…

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