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Chapter 9: Q. 44 (page 627)

Find a vector orthogonal to both u and j + k.

u=2i-3j+kp=j+k

Short Answer

Expert verified

The orthogonal vector is : -4i-2j+2k

Step by step solution

01

Step1. Given information 

vectors

u=2i-3j+kp=j+k

According to geometrical properties of the cross, the product is the resultant of the cross product is orthogonal to both vectors

so orthogonal vector =u脳p

02

Step2. Calculating the cross product

u=2i-3j+kp=j+ku脳p=ijk2-31011u脳p=i+-3111-j2101+k2-301u脳p=-4i-2j+2k

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