Question

(2,-1-2)*(4,1,8) ,Find the vector or scalar as required.

Answer 1

Answer:

Scalar product = -9

Vector Product = -6i - 24j + 6k

Step-by-step explanation:

In the question,

We have a vector,

A = 2i - j - 2k

and,

B = 4i + j + 8k

So,

On calculating the scalar product we find out that,

Scalar product = A.B

So,

$Scalar\ product=(2i - j - 2k).(4i + j + 8k)\\=8-1-16=-9\\Scalar\ product = -9$

Now,

Vector Product is given by,

Vector Product = A x B

$Vector\ product=A\times B=\left[\begin{array}{ccc}i&j&k\\2&-1&-2\\4&1&8\end{array}\right] \\Vector\ product = i(-6)-j(24)+k(6)\\Vector\ product = -6i-24j+6k$