Question

consider a vector F=4i^ - 3j^ what is a unit vector perpendicular to F

Answer 1

Heya,

Let p = i a +j b be the new vector.

So, we know there is a condition if vector is perpendicular to another then its dot product is 0.

f • p = 0

f • p = ( i a + j b) • (4i -3j)

0 = 4a - 3b.

on comparing with "p"

we get,

a = 3 and b = 4.

The vector is
P = 3 i + j 4

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Answer 2

$<fontcolor= black></p><p>Let p = i a +j b be the new vector. </p><p></p><p>So, we know there is a condition if vector is perpendicular to another then its dot product is 0.</p><p></p><p>f • p = 0</p><p></p><p>f • p = ( i a + j b) • (4i -3j) </p><p></p><p>0 = 4a - 3b. </p><p></p><p>on comparing with "p"</p><p></p><p>we get,</p><p></p><p>a = 3 and b = 4. </p><p></p><p>The vector is </p><p>P = 3 i + j 4</p><p>$