Let -> a = hat i - 2hat j + 3hat k, -> b = hat i + hat j + hat k and -> c be a vector such that -> a + ( -> b x -> c ) = -> 0 and -> b . -> c = 5. Then the value of 3( -> c . -> a ) is equal to _________.

vec a * vec b=(hat i-2 hat j+3 hat k) * (hat i+hat j+hat k)=2 ........(i) Given: vec a+(vec b x vec c)=0 => vec a * vec b=0 ........(ii) Equation (i) and equation (ii) are contradicting.

Let a i 2 j 3 k b i j k and c be a vector ... | (Mathematics)

Let $\overrightarrow a = \widehat i - 2\widehat j + 3\widehat k$ , $\overrightarrow b = \widehat i + \widehat j + \widehat k$ and $\overrightarrow c$ be a vector such that $\overrightarrow a + \left( {\overrightarrow b \times \overrightarrow c } \right) = \overrightarrow 0$ and $\overrightarrow b \,.\,\overrightarrow c = 5$ . Then the value of $3\left( {\overrightarrow c \,.\,\overrightarrow a } \right)$ is equal to _________.

Explanation

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Let R be the set of real numbers. end{enumerate} Statement-1: A = {(x,y) in R X R:y - x is an integer } is an equivalence . relation on R. Statement-2: B = {(x,y) in R X R:x = alpha y for some rational number } is . an equivalence relation on R.

In a college of 300 students, every student reads 5 newspapers and every newspaper is read by 60 students. The number of newspaper is

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