Question

Find the length and direction (when defined) of $\mathbf{u} \times \mathbf{v}$ and $\mathbf{v} \times \mathbf{u}$. $\mathbf{u} = -9\mathbf{i}$, $\mathbf{v} = 7\mathbf{j}$ The length of $\mathbf{u} \times \mathbf{v}$ is $ (Type an exact answer, using radicals as needed.)

          Find the length and direction (when defined) of $\mathbf{u} \times \mathbf{v}$ and $\mathbf{v} \times \mathbf{u}$.
$\mathbf{u} = -9\mathbf{i}$, $\mathbf{v} = 7\mathbf{j}$
The length of $\mathbf{u} \times \mathbf{v}$ is $
(Type an exact answer, using radicals as needed.)

Find the length and direction (when defined) of 𝐮×𝐯 and 𝐯×𝐮.
𝐮 = -9𝐢, 𝐯 = 7𝐣
The length of 𝐮×𝐯 is (Type an exact answer, using radicals as needed.)

Added by Sandra S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

08/01/2023

Step 1

Step 1: Find U x V To find U x V, we can use the cross product formula: U x V = (Uy * Vz - Uz * Vy)i - (Ux * Vz - Uz * Vx)j + (Ux * Vy - Uy * Vx)k Given U = -9i and V = 7j, we can substitute the values into the formula: U x V = (-9 * 0 - 0 * 7)i - (-9 * 0 - 0 * Show more…

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Texts: 1. Need to find U x V and its direction (i, j, k) and V x U and its direction. 2. Find the length and direction (when defined) of U x V and V x U. U = -9i, V = 7j. 3. The length of U x V is _________. Type an exact answer using radicals as needed.