Tamil Nadu Board of Secondary EducationHSC Science Class 11th

What are the resultants of the vector product of two given vectors given by A→=4i^-2j^+k^ and B→=5i^+3j^-4k^? - Physics

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Sum

What are the resultants of the vector product of two given vectors given by `vecA = 4hati - 2hatj + hatk` and `vecB = 5hati + 3hatj - 4hatk`?

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Solution

Given,

Vectors `vecA = 4hati - 2hatj + hatk` 

`vecB = 5hati + 3hatj - 4hatk`

Solution:

Vector product `vecA xx vecB = |[hati, hatj, hatk], [4, -2, 1], [5, 3, -4]|`

= `hati(8 - 3) - hatj(-16 - 5) + hatk(12 + 10) = 5hati + 21hatj + 22hatk`

Concept: Elementary Concept of Vector Algebra
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