To find a vector that is perpendicular to both given vectors, we can use the cross product. The cross product of two vectors gives a vector that is perpendicular to both of the original vectors.

The given vectors are:
Vector A = (-1, -5, 0)
Vector B = (-4, -1, 3)

The cross product of A and B is calculated as follows:

The cross product, C = A x B, is given by:

Cx = AyBz - AzBy = (-5*3) - (0*-1) = -15
Cy = AzBx - AxBz = (0*-4) - (-1*3) = 3
Cz = AxBy - AyBx = (-1*-1) - (-5*-4) = 1 - 20 = -19

So, the vector that is perpendicular to both A and B is C = (-15, 3, -19).

Question

To find a vector that is perpendicular to both given vectors, we can use the cross product. The cross product of two vectors gives a vector that is perpendicular to both of the original vectors.

The given vectors are:
Vector A = (-1, -5, 0)
Vector B = (-4, -1, 3)

The cross product of A and B is calculated as follows:

The cross product, C = A x B, is given by:

Cx = AyBz - AzBy = (-5*3) - (0*-1) = -15
Cy = AzBx - AxBz = (0*-4) - (-1*3) = 3
Cz = AxBy - AyBx = (-1*-1) - (-5*-4) = 1 - 20 = -19

So, the vector that is perpendicular to both A and B is C = (-15, 3, -19).

Knowee AI · Accepted Answer

To find a vector that is perpendicular to both given vectors, we can use the cross product. The cross product of two vectors gives a vector that is perpendicular to both of the original vectors.

The given vectors are:
Vector A = (-1, -5, 0)
Vector B = (-4, -1, 3)

The cross product of A and B is calculated as follows:

The cross product, C = A x B, is given by:

Cx = AyBz - AzBy = (-5*3) - (0*-1) = -15
Cy = AzBx - AxBz = (0*-4) - (-1*3) = 3
Cz = AxBy - AyBx = (-1*-1) - (-5*-4) = 1 - 20 = -19

So, the vector that is perpendicular to both A and B is C = (-15, 3, -19).

a (non-zero) vector perpendicular to both ⎛⎝⎜−1−50⎞⎠⎟(−1−50) and ⎛⎝⎜−4−13⎞⎠⎟(−4−13) is

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A (non-zero) vector perpendicular to both

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