v = 4i -2j +6k

b= -2i + j -3k

erkentrs
2022-08-05
Answered

Express the vector v as the sum of a vector parallel to b anda vector orthogonal to b.

v = 4i -2j +6k

b= -2i + j -3k

v = 4i -2j +6k

b= -2i + j -3k

You can still ask an expert for help

raffatoaq

Answered 2022-08-06
Author has **22** answers

v = 4i -2j +6k

b= -2i + j -3k

the vector v as the sum of a vector parallel to b

v= a + b

4i -2j +6k = a + -2i + j -3k

a= 6i -3j +9k

and a vector orthogonal to b.

$\left|\begin{array}{ccc}6& -3& 9\\ 4& -2& 6\\ -2& 1& -3\end{array}\right|=0$

b= -2i + j -3k

the vector v as the sum of a vector parallel to b

v= a + b

4i -2j +6k = a + -2i + j -3k

a= 6i -3j +9k

and a vector orthogonal to b.

$\left|\begin{array}{ccc}6& -3& 9\\ 4& -2& 6\\ -2& 1& -3\end{array}\right|=0$

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