WebThe lines l and m have vector equations. r = i + j + k + s(i − j + 2k) and r = 4i + 6j + k + t(2i + 2j + k) respectively. Show that l and m intersect. answer . Express general point of l or m in … WebApr 15, 2024 · Instead of using cable or satellite to access audiovisual content provided by those traditional means, you can now watch your favorite TV show, movie, or game on the go with your mobile phone or tablet, thanks to IPTV. IPTV is not just about TV on smart mobile devices. You can still enjoy TV on TV devices such as smart TVs or computers and laptops.
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WebFind the parametric form of vector equation of a straight line passing through the point of intersection of the straight lines and perpendicular to both straight lines. Solution The Cartesian equations of the straight line = (iˆ + 3 ˆj − k ) + t(2iˆ + 3 ˆj + 2k ) is Then any point on this line is of the form (2s +1, 3s + 3, 2s -1) ... (1) WebFind the vector equation of the plane passing through the origin and containing the line r i j k i j k r ¯ = ( i ^ + 4 j ^ + k ^) + λ ( i ^ + 2 j ^ + k ^). Advertisement Remove all ads Solution The vector equation of the plane passing through A A ( a ¯) and perpendicular to the vector n n ¯ is r n a n r ¯. n ¯ = a ¯. n ¯ ... (1) packers helmet logo images
The lines r = i+ j - k + λ (2 i+3 j - 6k) and r = 2i - j - k + µ ( 6i ...
WebShow that the lines and r → = 3 i ^ + 2 j ^ − 4 k ^ + λ ( i ^ + 2 j ^ + 2 k ^) and r → = 5 i ^ − 2 j ^ + μ ( 3 i ^ + 2 j ^ + 6 k ^) are intersecting. Hence, find their point of intersection. … WebYou can see here that i-j+4k and I+5j+k are perpendicular to each other. Their dot product is zero. That proves that the line is parallel to the plane. Additionally, if we change the equation of plane in Cartesian form, we have X + 5y + z = 5. To find the distance between line and plane: Choose any point on line,say (2,-2,3). WebProve that the line and r → = ( i ^ + j ^ − k ^) + λ ( 3 i ^ − j ^) and r → = ( 4 i ^ − k ^) + μ ( 2 i ^ + 3 k ^) intersect and find their point of intersection. Advertisement Remove all ads Solution The position vectors of two arbitrary points on the given lines are ( i ^ + j ^ − k ^) + λ ( 3 i ^ − j ^) = ( 1 + 3 λ) i ^ + ( 1 − λ) j ^ − k ^ packers helmet with dark visor