Chapter 9: Q. 40 (page 627)

In Problem, use the given vectors u, v, and w to find the given expression.
$(w \times w) \times v u = 2 i - 3 j + k v = - 3 i + 3 j + 2 k w = i + j + 3 k$

Short Answer

Expert verified

The resultant of the given equation is : 0

Step by step solution

Step1. Given information

$v e c t o r s u = 2 i - 3 j + k v = - 3 i + 3 j + 2 k w = i + j + 3 k$

equation: $(W \times W) \times V$

Step2. calculating the equation

We know that

$x = a i + b j + c k y = p i + q j + r k x \times y = |\begin{matrix} i & j & k \\ a & b & c \\ p & q & r \end{matrix}|$

so according to question

$(w \times w) = |\begin{matrix} i & j & k \\ 1 & 1 & 3 \\ 1 & 1 & 3 \end{matrix}| = [i |\begin{matrix} 1 & 3 \\ 1 & 3 \end{matrix}| - j |\begin{matrix} 1 & 3 \\ 1 & 3 \end{matrix}| + k |\begin{matrix} 1 & 1 \\ 1 & 1 \end{matrix}|] (w \times w) = 0 (w \times w) \times v = 0 \times v = 0$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

In Problem, use the given vectors u, v, and w to find the given expression.
$(w \times w) \times v u = 2 i - 3 j + k v = - 3 i + 3 j + 2 k w = i + j + 3 k$

Short Answer

Step by step solution

Step1. Given information

Step2. calculating the equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Logic and Functions

Mechanics Maths

Probability and Statistics

Pure Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In Problem, use the given vectors u, v, and w to find the given expression.w×w×vu=2i-3j+kv=-3i+3j+2kw=i+j+3k

Short Answer

Step by step solution

Step1. Given information

Step2. calculating the equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Logic and Functions

Mechanics Maths

Probability and Statistics

Pure Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In Problem, use the given vectors u, v, and w to find the given expression.
$(w \times w) \times v u = 2 i - 3 j + k v = - 3 i + 3 j + 2 k w = i + j + 3 k$