Q4) Determine if the vectors below are independent. Justify your answer. -3° - ,V2 = [2. v, = |0| ,V3 = 4 %3D -81

Q: Let a = 2 (-) (-3). 1 and b = What is a|²|b²+ la · b|²? -2 be two vectors.

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Q: Q1/For the figure bellow: a- Write all vectors in vector pair form. i.e. b= (2,1). b- Write all…

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Q: 1. Given the vectors = (2, -6) and 7 = (5, 5) , find %3D a. 37 -7 b. |7 + 7|

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Q: A, B, and C are 3 distinct points with non-zero position vectors a, b, and e respectively. a If a x…

A: Given three distinct points are A, B, C. with position vectors a, b, c respectively.…

Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: The population of a city has been doubling every 14 years. If this pat- tern continues, what will…

A: The population of a city has been doubling every 14 years. Current population:  218000

Q: Draw à = 3î + 2ĵ+ 5k. Must Include the Rectangular Prism used to draw 3D vectors.

A: a⇀ = 3i^ + 2 j^ + 5k^ The given vector indicates a 3D vector :  3 units in the direction of x-axis…

Q: e) a unit vector perpendicular to both i and i f) the volume of the parallelepiped formed by vectors…

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Q: Find the smallest positive angle between the given pair of vectors. (-1.5). (2.6) The smallest…

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Q: Find u · v. (7, 9) v = (-2, 4) V u.v u:v =

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Q: Let ā = (1, – 5, 2) and b = ( – 1, 5, 3). %3D Find the angle between the vectors (in degrees).

A: We know that for two vectors a→ and b→,   cos(θ)=a⇀.b⇀|a||b|⇀⇀ where θ is the angle between vectors.…

Q: 4. Given the following column vectors, a = (3) b = (5) 2 find 3a – 2b. ( ) Answer

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Q: Find the direction of v:v =(7,-2)

A: Given: v→=7,-2

Q: List five vectors in Span{V₁, V₂}. Do not make a sketch. 6 40-0 V₁ = 3. V₂ = 3 8 6 List five vectors…

A: The given vectors v1=63-8, v2=-630. We have to find five vectors in the Spanv1, v2.