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24. Scalar or Dot Products
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Q28 of 138 Page 24

A unit vector makes angles and with and respectively and an acute angle θ with Find the angle θ and components of

Assume,

Using formula:



since it is a unit vector


First taking dot product with





Taking dot product with





Now we have as


Since the magnitude of is 1






Considering,



Therefore, angle with is





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Find the projection of on where and

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If and then show that the vectors and are orthogonal.

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If two vectors and are such that and then find the value of

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Questions · 138
24. Scalar or Dot Products
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