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Chapter 3: 20P (page 105)

Find a vector perpendicularto both i+j and i-2k .

Short Answer

Expert verified

The vector perpendicular to both the given vectors i+j and i-2k is -2i+2j-k .

Step by step solution

01

Given information

The given vectors are i+j and i-2k.

02

Formula used to find a vector perpendicular to the two vectors.

The formula used to find the vector perpendicular to the two vectors and is given by

A xB =ijkAxAyAzBxByBz

03

Substitute the values

Let the given vectors be A = i+j and B = i - 2k .

A x B = ijk11010-2

= i(-2-0) - j(-2-0) + k(0-1)

= i(-2) - j(-2) + k(-1)

= -2i+2j-k

Hence, the vector perpendicular to A = i+j and B = i-2k is .

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