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Calculate the dot product of ?=(−4,−2,7,−3)and ?=(−3,1,5,8)

Calculate the dot product of ?=(−4,−2,7,−3)and ?=(−3,1,5,8)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Calculate the dot product of ?=(−4,−2,7,−3)and ?=(−3,1,5,8).

**Dot Product Calculation Exercise** Calculate the dot product of the vectors **u** and **v** given below: \[ \mathbf{u} = (-4, -2, 7, -3) \] \[ \mathbf{v} = (-3, 1, 5, 8) \] **Calculation:** \[ \mathbf{u} \cdot \mathbf{v} = \, \] *Note: Enter the calculated dot product in the space provided.*
Transcribed Image Text:**Dot Product Calculation Exercise** Calculate the dot product of the vectors **u** and **v** given below: \[ \mathbf{u} = (-4, -2, 7, -3) \] \[ \mathbf{v} = (-3, 1, 5, 8) \] **Calculation:** \[ \mathbf{u} \cdot \mathbf{v} = \, \] *Note: Enter the calculated dot product in the space provided.*
Expert Solution
Step 1

Given vector is u→=−4,−2,7,−3 and v→=−3,1,5,8.

We have to calculate the u→⋅v→.

u→⋅v→=−4,−2,7,−3⋅−3,1,5,8=−4−3+−21+75+−38=12−2+35−24=21

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