a)Calculate the following equation considering the vectors, a=(4,-2,-4), b=(1,6,7) and c= (1,-1,-2). (ax b) - (a x c) b) For the vectors a = (2,-1,-3) and b = (3,-4,2), calculate the scalar proj, a and scalar proj b. State both projections in scalar form. Explain and discuss what vector projection of two vectors are. You may use a diagram to help with this explanation. Be sure to discuss the cases of different angles.

Q: Give the parametric and symmetric equations of the line that passes through the point (4, -3,5) and…

A: Using the dot product equal to zero for perpendicular to the vectors.

Q: Find two unit vectors orthogonal to a = (-2,-1, 3) and b = (5,-2, 1) Enter your answer so that the…

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

A: Let  be vectors.(A) To find the scalar projection of .(B) To decompose the vector  into a component…

Q: For the vector, find V v = (-5, 3) v= -V 4V = || -V, and 4V.

A: Given : 1)V=-5,32)V=2i+6j   To Find : 1) 12v2)  -v3)  4v

Q: Find -3w - 6 (u + 2v) if u = -3j, v = i + 2j, and w=--.Express your answer as a linear combination…

A: The given vectors are:u=-3jv=i+2jw=-13i-73j

Q: How do I find the magnitude of  this vector?

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Q: find the components of the vector PQ. P = (-}, 3, 1), Q = (4, 6, 0)

A: P=-12, 92, 1,  Q=4, 6, 0

Q: Given two vectors P=a,-a, Q-2а, -а, ta, R=2a,+3a,+a, Determine: (a). (P+Q)x(P-Q) (b). Q.RxP (c)…

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Q: The coordinates of the terminal point of the vector with its initia point at (-3, 2) is (a, b).…

A: The coordinates of a vector with its initial point, <x1, y1> and the terminal point, <x2,…

Q: Express the equation of the line that passes through the point p (2,6, -7) and v (3, -4,1) the…

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

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Q: Find the vector with the given magnitude and in the same direction as " M = 4; u = (-8,15) . %3D

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Q: Let a = [3, -7] and b = [-5, 11].

A: given that the two vectors a=[3,-7] b=[-5,11] To plot and check which one is greater.

Q: Q3/ Let å = (2,1, -4) and b = (3,-2,5) be two vectors. Find a vector that perpendicular to both å…

A: Q3/ The given vectors are a⇀=2,1,-4 and b⇀=3,-2,5

Q: Find the equation for the plane through the point Po = (2,10,7) and normal to the vector n = 9i + 2j…

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Q: Obtain Vector v = 3î+ 4ftransformed with -1 1 3 2 –4]

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Q: please solve it , truth or false with justifying the answer q1,a

A: False It is linearly independent.Explanation:If you have any questions let me know in comment box…

Q: Do the vectors A = 2ax +ay-4az, B =3ax %3D -2ay + az and C = ax -3ay +5az form a %3D right triangle?…

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Q: (c) a-i+25+5k and 6 3i+ 45-E d) ä = 2i + 6j - 4k and 6- -3i - 95 + 6k

A: