Find the following cross products in terms of the unit vectors i, j, and k: (a) $vec{A} = 1i - 5j + 1k, vec{C} = -5i + 2j + 5k$. $vec{A} imes vec{C} =$ (b) $vec{A} = -8i - 9j + 8k, vec{C} = -8i + 4j + 7k$. $vec{A} imes vec{C} =$ (c) $vec{A} = 4i + 1j, vec{C} = -3i - 4j$. $vec{A} imes vec{C} =$ (d) $vec{A} = 6j, vec{C} = -3i + 2j + 3k$. $vec{A} imes vec{C} =$
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1. Determine the following vector products: a. j x i b. i x k c. i x j d. j x k 2. Determine the vector product of u x v for the following vectors: a. u = -2i + 3j + 4k, v = 3i + 7j + 4k b. u = 3i + 5k, v = 2i + 3j - 2k c. u = -5i + 3j - 4k, v = -3i + 17j + 4k d. u = 2i - 5k, v = 2i + 3j - 8k
Adi S.
Perform the indicated operations on the following vectors: $$\begin{aligned} &\vec{a}=2 \vec{j}+\vec{k}, \quad \vec{b}=-3 \vec{i}+5 \vec{j}+4 \vec{k}, \quad \vec{c}=\vec{i}+6 \vec{j},\\ &\vec{x}=-2 \vec{i}+9 \vec{j}, \quad \vec{y}=4 \vec{i}-7 \vec{j}, \quad \vec{z}=\vec{i}-3 \vec{j}-\vec{k} \end{aligned}$$ $$\vec{a}+\vec{z}$$
A Fundamental Tool: Vectors
Displacement Vectors
Perform the indicated operations on the following vectors: $$\begin{aligned} &\vec{a}=2 \vec{j}+\vec{k}, \quad \vec{b}=-3 \vec{i}+5 \vec{j}+4 \vec{k}, \quad \vec{c}=\vec{i}+6 \vec{j},\\ &\vec{x}=-2 \vec{i}+9 \vec{j}, \quad \vec{y}=4 \vec{i}-7 \vec{j}, \quad \vec{z}=\vec{i}-3 \vec{j}-\vec{k} \end{aligned}$$ $$4 \vec{z}$$
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