Class 12

23. Vectors and 3D question bank (Maths)

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Q1.

The perimeter of a triangle with sides \( 3\hat{i} + 4\hat{j} + 5\hat{k}, \quad 4\hat{i} - 3\hat{j} - 5\hat{k} \) and \( 7\hat{i} + \hat{j} \) is

(A)

\(\sqrt{450}\)

(B)

\(\sqrt{150}\)

(C)

\(\sqrt{50}\)

(D)

\(\sqrt{200}\)

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Q2.

If the position vectors of the vertices of a triangle be \( 2\hat{i} + 4\hat{j} - \hat{k}, \quad 4\hat{i} + 5\hat{j} + \hat{k} \) and \( 3\hat{i} + 6\hat{j} - 3\hat{k} \), then the triangle is

(A)

Right angled

(B)

Isosceles

(C)

Equilateral

(D)

Right angled isosceles

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