Q38 of 49 Page 235

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The direction cosines of the vectorare __________.

We know,


If l, m, n are the direction cosines and a, b, c are the direction ratios of a line then,





Given,


a = 2, b = 2, c = -1



Hence, directions cosines are



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The plane 2x – 3y + 6z – 11 = 0 makes an angle sin–1(α) with x-axis. The valueof α is equal to

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A plane passes through the points (2,0,0) (0,3,0) and (0,0,4). The equation of plane is __________.

 39

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The vector equation of the lineis __________.

 40

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The vector equation of the line through the points (3,4,–7) and (1,–1,6) is__________.