Perform the following operation with the vectors а3(2. о, з>. ь-(з. 1, 2) %D |2a– 3b|

Q: Q2: Find the axb|, where vector a = (7,3, 4) and vector b = (11, 2, 9)? ...........:Solution

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Q: Express EC by combinations of the vectors a, b and 7.

A: We have to write EC vector in terms of a,b and c

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: Given vectors v = (3, -1) and w = 1 (-4, 6), find 2v - 2W {8, -5) (4, -5) (-5, 4) (-8, 5) (-8, -5)

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Q: Q1 Given A= 3i-7j+5k, B = -i+7j-k, C = 4i-j+k. Find the unit vector of: (а) А-В+С (b) АхСхВ

A: The vector addition can be performed by the addition of the respective elements. The elements with…

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: For the pair of vectors, find U + V, U-V, and 4U + 2V. U = 4i + 5j, V = 5i + 4j U + V = U-V= 4U+2V =

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Q: Determine if b is in the span of the other given vectors. If so, express b as a linear combination…

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Q: 6. Write DÉ as a linear combination of the vectors i and j a) D (9,-6) E (-7, 2) first write in…

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Q: For the vectors u=−1,4 and v=−4,2​, calculate projvu and scalvu.

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Q: Given the following vectors, calculate -7v u=(6,-8)v=(6,-5)

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Q: 35. For m = (-5, -6) and = (6, −9) find the sum of the vector three times the magnitude of m and the…

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Q: (€) Let a = and b = be two vectors. What is al2|b|? - |a · b|? ?

A: Given vectors are, a=2-10  and b=-111 The modulus of the given vectors will be, a=22+-12+0…

Q: Find the cross product of the vectors a=⟨2,3,−2⟩ and b=⟨−3,−6,−4⟩. Select one: a. ⟨0,2,−3⟩ b.…

A: a*b = <-24,14,-3> option 'e' is correct

Q: Calculate v × w, where v = (−2, 1, 4) and w = (3, 2, 5).

A: Given: v = (−2, 1, 4) and w = (3, 2, 5)

Q: Use the vectors v=3i+j-2k and w=-3i+2j-k to find each expression. ||v - w ||

A: Given vectors are: v=3i+j-2kw=-3i+2j-k We have to find v-w.

Q: 1 V₁ = 2 - Copyright Texas State University, 2 3 rights reserved. V₂ = University, 2023 1 1 V3 =…

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

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Q: Express w as a linear combination of u and v. 4 --}-}--[:] W = 6 u 3 2 6 6

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