The vectors - b and - c are non-colinear- if - a - b - c - a - b - b -4-2 x -sin y - b - x 2-1 - c and - c- c - a - c thenA- x-1B- x-1 C- y -4 n -1 -2- n - ID- y -2 n -1 -2- n - I

The correct options are A x=1 C y = (4n+1) π2, n∈𝕀 nbsp;nbsp;a ×( nbsp; b × nbsp;b) + ( nbsp; a · nbsp;b) nbsp;b = (4 2x sin y) nbsp;b ...

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Applications of Dot Product

The vectors →...

Question

The vectors $\to b$ and $\to c$ are non-colinear, if $\to a \times (\to b \times \to c) + (\to a \cdot \to b) \to b = (4 - 2 x - sin y) \to b + (x^{2} - 1) \to c$ and $(\to c \cdot \to c) \to a = \to c$ then

x = 1

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x = - 1

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y = \frac{(4 n + 1) π}{2}, n \in I

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y = \frac{(2 n + 1) π}{2}, n \in I

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\to b

\to c

\to a \times (\to b \times \to c) + (\to a \cdot \to b) \to b

= (4 - 2 x - sin y) \to b + (x^{2} - 1) \to c

(\to c \cdot \to c) \to a = \to c

$s e c^{- 1}$ (sin x) is real, if

\to b

\to c

\to a \times (\to b \times \to c) + (\to a \cdot \to b) \to b = (4 - 2 x - sin y) \to b + (x^{2} - 1) \to c

(\to c \cdot \to c) \to a = \to c

C_{0}, C_{1}, C_{2}, \dots, C_{n}

(1 + x)^{n}

n \sum r = 0 (- 1)^{r}^{n} C_{r} [\frac{1}{2^{r}} + \frac{3^{r}}{2^{2 r}} + \frac{7^{r}}{2^{3 r}} + \dots upto m terms]

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