Write the direction cosines of the vector $- 2 \hat{i} + \hat{j} - 5 k .$

Solution

$The direction cosines of the given vector - 2 \hat{i} + \hat{j} - 5 k is given by (\frac{- 2}{\sqrt{{(- 2)}^{2} + {(1)}^{2} + {(- 5)}^{2}}}, \frac{1}{\sqrt{{(- 2)}^{2} + {(1)}^{2} + {(- 5)}^{2}}}, \frac{- 5}{\sqrt{{(- 2)}^{2} + {(1)}^{2} + {(- 5)}^{2}}}) = (\frac{- 2}{\sqrt{30}}, \frac{1}{\sqrt{30}}, \frac{- 5}{\sqrt{30}})$

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Vector Algebra

Write the direction cosines of the vector $- 2 \hat{i} + \hat{j} - 5 k .$

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Vector Algebra

Write the direction cosines of the vector - 2 i^ + j^ - 5 k.

Some More Questions From Vector Algebra Chapter

Classify the following measures as scalars and vectors.(i) 5 seconds (ii) 1000 cm3(iii) 10 Newton(iv) 30 km hr (v) 10 g/cm3(vi) 20 m/s towards north

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Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Write the direction cosines of the vector $- 2 \hat{i} + \hat{j} - 5 k .$

Classify the following measures as scalars and vectors.
(i) 5 seconds
(ii) 1000 cm³(iii) 10 Newton
(iv) 30 km hr
(v) 10 g/cm³(vi) 20 m/s towards north

Classify the following measures as scalars and vectors.
10 kg

Classify the following measures as scalars and vectors.
2 meters north-west

Classify the following measures as scalars and vectors.
40°

Classify the following measures as scalars and vectors.
40 watt

Classify the following measures as scalars and vectors.
10^–19 coulomb

Classify the following measures as scalars and vectors.
20 m/s²

Classify the following measures as scalars and vectors.
time period