How do you find the scalar and vector projections of

Mary Buchanan 2021-12-15 Answered
How do you find the scalar and vector projections of b onto a given a=i+j+k, b=ij+k?
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scomparve5j
Answered 2021-12-16 Author has 38 answers
We have two vectors a and b and we have to find the scalar and vector projection of b onto a
a=i+j+k and b=ij+k
The scalar projection of b onto a=b×a|a|
=(i+j+k)(ij+k)12+11+12
=1212+123
=13
The vector projection of b onto a=b×a|a|2×(i+j+k)
=(i+j+k)(ij+k)(12+11+12)2×(i+j+k)
=1212+123×(i+j+k)
=13(i+j+k)

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