If D=7i-3j+2k and E=4i+5j-3k. Find the scalar product of D.E
No idea
To find the scalar product (also known as dot product) of two vectors, we need to multiply their corresponding components and add the results.
Given:
D = 7i - 3j + 2k
E = 4i + 5j - 3k
To find the scalar product of D.E, we perform the following calculations:
D.E = (7)(4) + (-3)(5) + (2)(-3)
= 28 - 15 - 6
= 7
Therefore, the scalar product of D.E is 7.
To find the scalar product of two vectors, you need to take the dot product of the two vectors. The dot product of two vectors A and B can be calculated using the formula:
A ยท B = Ax * Bx + Ay * By + Az * Bz
Given that D = 7i - 3j + 2k and E = 4i + 5j - 3k, we can now calculate their scalar product.
D.E = (7 * 4) + (-3 * 5) + (2 * -3)
= 28 - 15 - 6
= 7
Therefore, the scalar product of D and E is 7.
Scalar product? Why?
So just find the length of each and multiply.