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Syllabus

a + b + c= 0 andc^{2}=a^{2}+b^{2}, then acute angle between these vectors is given by(A) 0 (B) $\frac{\pi}{3}$ (C) $\frac{\pi}{6}$ (D) ${\mathrm{cos}}^{-1}\left(\frac{1}{2c}\right)$

Q3. The D.R of AB are -2,2,1 if A=(4,1,5) and l(AB)=6 units, fin the coordinate of B

xfor which ΔABC formed by A ≡ (3,x, 4), B ≡ (4x, 1, 3) and C ≡ (x, –1,x) is a right angled triangle right angled at A, is/are(A) $\frac{5}{6},2$ (B) $\frac{6}{5},2$ (C) 2 (D) $-2,-\frac{6}{5}$

^{7}in the expansion of (1-x-x^{2}+x^{3})is