Q30 of 36 Page 10

Show that the points A, B, C with position vectors and respectively, are the vertices of a right-angled triangle. Hence find the area of the triangle.[CBSE 2017]

Given-




Here,





Now,





Clearly,


Thus, Δ ABC is a right-angled triangle.


Area of Δ ABC


Now,





Hence, Area of Δ ABC

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The two adjacent sides of a parallelogram are and Find the two-unit vectors parallel to its diagonals. Using the diagonal vectors, find the area of the parallelogram.[CBSE 2016]

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Given that vectors form a triangle such that Find p, q, r, s such that area of a triangle is where and [CBSE 2016]

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Find the value of λ, if four points with position vectors and are coplanar.[CBSE 2017]

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Let and Then,

If and find which makes and coplanar.[CBSE 2017]