Questions tagged 'Scalar Product'

• $(\mathbf{a}\,.\,\mathbf{i})\,\mathbf{i}+(\mathbf{a}\,.\,\mathbf{j})\mathbf{j}+(\mathbf{a}\,.\,\mathbf{k})\,\mathbf{k}=$
  Category: vectors-m | Tags: Scalar Product, Dot Product
• If $\mathbf{r}\,.\,\mathbf{i}=\mathbf{r}\,.\,\mathbf{j}=\mathbf{r}\,.\,\mathbf{k}$ and $|\mathbf{r}|\,\,=3,$ then $\mathbf{r}=$
  Category: vectors-m | Tags: Scalar Product, Dot Product
• If a, b, c are non-zero vectors such that $\mathbf{a}\,\,.\,\,\mathbf{b}=\mathbf{a}\,\,.\,\,\mathbf{c},$ then which statement is true
  Category: vectors-m | Tags: Scalar Product, Dot Product
• If a and b be unlike vectors, then a . b =
  Category: vectors-m | Tags: Scalar Product, Dot Product
• If a, b, c are unit vectors such that $\mathbf{a}+\mathbf{b}+\mathbf{c}=\mathbf{0},$ then $\mathbf{a}\,\,.\,\,\mathbf{b}+\mathbf{b}\,\,.\,\,\mathbf{c}+\mathbf{c}\,\,.\,\,\mathbf{a}=$
  Category: vectors-m | Tags: Scalar Product, Dot Product
• If a, b, c are mutually perpendicular vectors of equal magnitudes, then the angle between the vectors a and $\mathbf{a}+\mathbf{b}+\mathbf{c}$ is
  Category: vectors-m | Tags: Scalar Product, Dot Product
• If a, b, c are mutually perpendicular unit vectors, then $|\mathbf{a}+\mathbf{b}+\mathbf{c}|\,\,=$
  Category: vectors-m | Tags: Scalar Product, Dot Product
• If $|\mathbf{a}|+|\mathbf{b}|\,=\,|\mathbf{c}|$ and $\mathbf{a}+\mathbf{b}=\mathbf{c},$ then the angle between a and b is
  Category: vectors-m | Tags: Scalar Product, Dot Product
• If a has magnitude 5 and points north-east and vector b has magnitude 5 and points north-west, then $|\,\,\mathbf{a}-\mathbf{b}\,\,|\,=$
  Category: vectors-m | Tags: Scalar Product, Dot Product
• If $\theta$ be the angle between the unit vectors a and b, then $\cos \frac{\theta }{2}=$
  Category: vectors-m | Tags: Scalar Product, Dot Product

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