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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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प्रश्न

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

बेरीज

उत्तर

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`

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Elementary Concept of Vector Algebra
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पाठ 2: Kinematics - Evaluation [पृष्ठ १००]

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सामाचीर कलवी Physics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 2 Kinematics
Evaluation | Q IV. 5. | पृष्ठ १००
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