Multiplication of Vectors | math4u.vsb.cz

Submitted by ladislav.foltyn on Tue, 05/28/2019 - 10:23

Project ID:

6000000074

Accepted:

SubArea:

Points and vectors

Type:

Layout:

Question:

Let

\vec{a} = (1; - 2; - 2)

,

\vec{b} = (0; 1; 3)

, and

\vec{c} = (1; - 1; 0)

. Match each of the given vector products with the correct result.

Question 1:

(\vec{a} \times \vec{b}) \cdot \vec{c}

Answer 1:

$- 1$

Question 2:

(\vec{a} \times \vec{b}) \times \vec{c}

Answer 2:

$(1; 1; 7)$

Question 3:

(\vec{a} \cdot \vec{b}) \cdot \vec{c}

Answer 3:

$(- 8; 8; 0)$

Question 4:

(\vec{a} \cdot \vec{c}) \cdot \vec{b}

Answer 4:

$(0; 3; 9)$

Question 5:

(\vec{a} \times \vec{c}) \cdot \vec{b}

Answer 5:

$1$

Question 6:

(\vec{a} \cdot \vec{b}) \times \vec{c}

Answer 6:

Is not defined.

Tex:

% tiket 32824 \NastavOD{2} \NastavOT{2}