SOLVE STEP BY STEP IN DIGITAL FORMAT 2. Let the vectors: c= (1,2,3), d= (4,5,6) y e= (7,8,9) Prove that the following properties are true or false: a) (ex d) + (dx c) b) (exd) ec.(dx e) c) (cxd) xečx (d× è)

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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ФЫВА ПРО ВАПРОЛ ДЗ А П Р ОЛДЖЫВАПР
ЯЧСМИТЕЧСМИТЬБАСМИТЬБЮ ЯЧСМИ 1
DON'T USE AI I DON'T USE AI |DON'T USE AI | DON'T USE AI |DON'T USE AI
SOLVE STEP BY STEP IN DIGITAL FORMAT
2. Let the vectors: T= (1,2,3), d= (4,5,6) у ē= (7,8,9) Prove that the following properties are true or
false:
a) (cxd) +(dx c)
b) (č x d) · ē = č - (axe)
c) (cxd) xeč × (à × è)
УКЕНГШУИЦУКЕНГШУКЕНГШЩ ЗКЕНГШщ.
УКЕНГШУЙЦУКЕНГШУКЕНГШЩЗКЕНГ Щ
IBA ПPO В ФЫ ВА ПРО ВАПРОЛДЗАПРОЛД
Transcribed Image Text:ФЫВА ПРО ВАПРОЛ ДЗ А П Р ОЛДЖЫВАПР ЯЧСМИТЕЧСМИТЬБАСМИТЬБЮ ЯЧСМИ 1 DON'T USE AI I DON'T USE AI |DON'T USE AI | DON'T USE AI |DON'T USE AI SOLVE STEP BY STEP IN DIGITAL FORMAT 2. Let the vectors: T= (1,2,3), d= (4,5,6) у ē= (7,8,9) Prove that the following properties are true or false: a) (cxd) +(dx c) b) (č x d) · ē = č - (axe) c) (cxd) xeč × (à × è) УКЕНГШУИЦУКЕНГШУКЕНГШЩ ЗКЕНГШщ. УКЕНГШУЙЦУКЕНГШУКЕНГШЩЗКЕНГ Щ IBA ПPO В ФЫ ВА ПРО ВАПРОЛДЗАПРОЛД
Expert Solution
Step 1: Cross product and Dot product

Let, x with rightwards arrow on top = (a, b, c) and y with rightwards arrow on top = (d, e, f) 

  Then, x with rightwards arrow on top cross times y with rightwards arrow on top = (bf - ce, cd - af, ae - bd) 

                    [ Cross product ]

   x with rightwards arrow on top. y with rightwards arrow on top = ad + be + cf

                    [ Dot product ]

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