Express the vector b 12 as a linear combination of the vectors a, = -3 , a2 %3D 6. - 5 - 14 a3 %D - 5 a1 + az + a3 = b %3D

Q: 3. Write ū= as a sum of vectors, one in the direction of and another orthoganal to a. ā= [3] 图

A: The given vector .The objective is to write the vector as a sum of vectors one in the direction of…

Q: mine the (smaller) angle between the two ve Sa - 7a +4a 0 r Ф 2a + a - 3a 0 1 Ф

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Q: has an initial point (-3, -6) and terminal point (4, 5). Write as a linear combination of the…

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Q: A=(-5, 12) B= (4, 6) A and B as vectors. Calculate the projection of vector B on vector A and…

A: Step 1: Step 2: Step 3: Step 4:

Q: How do you determine if two vectors are orthogonal?

A: If we are given two different vectors , then they are orthogonal if they are  perpendicular to each…

Q: Determine whether the following statements are true or false. Justify your answers. (a) When u and…

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Q: Which one of the following vectors is parallel to the line 34x-2y=1? O (2,34) O (34,2) O (-2,34) O…

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Q: Vector p = Vector n Calculate the total sales of all the bicycles. 239, 193, 219 > represents the…

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Q: (4,6) V2 = (-3, -6) V3 = (-8, 4) V4 = (10, ニ

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Q: 123 Write the vector 2 as a linear combination of the vectors 3 4 (6676) 5 4 2

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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 three vectors A 6) (a) Find A (B+C). Fnl A C) Find A (8C) i Find Bx(A-C)

A: Here we have  A=4i+6j-2kB=2i+7j-kC=0i+3j+5k i) find A·(B+C) ii) find A·(B×C) iii) find A×(B+C)

Q: 01/ Determine if the two vectors are parallel, orthogonal or neither. j = (4,-2,7), i = -37 + j + 2k

A: The given vectors are                                   p→=-3i^+j^+2k^                         and…

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: Find the components of the vector - 4c based on the vector shown.

A: The magnitude of the vector in x direction is represented by i component. The magnitude of the…

Q: Orthonormalize the following set of three vectors: {(1, -1, 2), (1, 3, 1), (1, 0, 2)}. Please use…

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