Since b ⋅ c = 0, b vector and c vector are perpendicular. So, the given vectors form a right triangle. Example 4 : If the vectors (i + 2j - 5k) and (3i - 2j + ak) are perpendicular to each other, find the

get their dot product, if the dot product is 0, then they're orthogonal (perpendicular). also keep in mind that, if two vectors bear the same slope, namely and

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If you calculate the scalar product and show it = 0 the vectors must be perpendicular. To calculate the scalar product of two vectors eg a = 3 i + 4 j - 12 k and b = 4 i + 3 j + 2 k we simply

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If two vectors are perpendicular, then their dot-product is equal to zero. The cross-product of two vectors is defined to be A×B = (a2_b3 - a3_b2, a3_b1 - a1_b3, a1_b2 - a2*b1).