Question

ONE (01) mark questions.
1) What are the scalar products of rectangular unit vectors î, j and ?​

Answer 1

The scalar products of rectangular unit vectors î, j and k are all zero.

• The scalar product, also known as the dot product, of two vectors is a scalar value that is calculated by multiplying the magnitudes of the two vectors and the cosine of the angle between them.

• The rectangular unit vectors î, j and k are mutually orthogonal, which means they are perpendicular to each other. When two vectors are perpendicular, the angle between them is 90 degrees and the cosine of 90 degrees is zero. Therefore, the scalar product of two perpendicular vectors is always zero.

• Therefore, the scalar product of î and j is:

î . j = |î| |j| cos(90) = 0

The scalar product of î and k is:

î . k = |î| |k| cos(90) = 0

The scalar product of j and k is:

j . k = |j| |k| cos(90) = 0

So the scalar products of rectangular unit vectors î, j and k are all zero.

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