Question

Find the orthogonal projection $p$ of $v = 4i + 6j + 7k$ on $u = 3i + 2j + 10k$. (Write your solution in terms of the standard basis vectors $i$, $j$, and $k$. Use symbolic notation and fractions where needed.) $p = \frac{(94)(3i + 2j + 10k)}{113}$

          Find the orthogonal projection \(p\) of \(v = 4i + 6j + 7k\) on \(u = 3i + 2j + 10k\).
(Write your solution in terms of the standard basis vectors \(i\), \(j\), and \(k\). Use symbolic notation and fractions where needed.)
\(p = \frac{(94)(3i + 2j + 10k)}{113}\)

$Find the orthogonal projection p of v = 4i + 6j + 7k on u = 3i + 2j + 10k. (Write your solution in terms of the standard basis vectors i, j, and k. Use symbolic notation and fractions where needed.) p = ((94)(3i + 2j + 10k))/(113)$

Added by Roberto D.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Ishana K

05/30/2022

Step 1

In this case, since we are finding the projection of v onto u, we can use the formula for the dot product: v · u = (4)(3) + (6)(2) + (7)(10) = 12 + 12 + 70 = 94. Show more…

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Anseuries Give Up! Feedback Find the orthogonal projection p of v=4i+6j+7k on u=3i+2j+10k. (Write your solution in terms of the standard basis vectors i, j, and k. Use symbolic notation and fractions where needed.) iscertert Give Up? Find the orthogonal projection p of v=4i+6j+7k on u=3i+2j+10k. (Write your solution in terms of the standard basis vectors i, j, and k. Use symbolic notation and fractions where needed.) (94)(31+21+106)