area of parallelogram whose diagonal are 3i+j-2k and i-3j+4k will be
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Hello dear...❤️❤️❤️❤️❤️❤️❤️
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ʏᴏᴜ ʜᴀᴠᴇ ᴛᴏ ᴛᴀᴋᴇ ᴄʀᴏss ᴘʀᴏᴅᴜᴄᴛ ʙᴇᴛᴡᴇᴇɴ ᴛʜᴇ ᴛᴡᴏ ᴠᴇᴄᴛᴏʀs.
ᴠ = 3ɪ + ᴊ - 2ᴋ = ᴠ1 ɪ + ᴠ2 ᴊ + ᴠ3 ᴋ
ᴡ = ɪ - 3ᴊ + 4ᴋ = ᴡ1 ɪ + ᴡ2 ᴊ + ᴡ3 ᴋ
ᴠ x ᴡ = (ᴠ2 ᴡ3 - ᴠ3 ᴡ2) ɪ + (ᴠ3 ᴡ1 - ᴠ1 ᴡ3) ᴊ + (ᴠ1 ᴡ2 - ᴠ2 ᴡ1) ᴋ
ᴠ x ᴡ = (1 * 4 - (-2) * (-3)) ɪ + ((-2) * 1 - 3 * 4) ᴊ + (3 * (-3) - 1 * 1) ᴋ
ᴠ x ᴡ = (4 - 6) ɪ + (-2 - 12) ᴊ + (-9 - 1) ᴋ
ᴠ x ᴡ = -2 ɪ - 14 ᴊ - 10 ᴋ
ᴀʀᴇᴀ = || ᴠ x ᴡ || = √ ( (-2) ² + (-14) ² + (-10) ² ) = 17.32
sᴇᴇ ᴀᴛᴛᴀᴄʜᴇᴅ ʟɪɴᴋ ғᴏʀ ᴍᴏʀᴇ ɪɴғᴏʀᴍᴀᴛɪᴏɴ ᴀɴᴅ ᴀɴ ᴇxᴀᴍᴘʟᴇ.......
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ʏᴏᴜ ʜᴀᴠᴇ ᴛᴏ ᴛᴀᴋᴇ ᴄʀᴏss ᴘʀᴏᴅᴜᴄᴛ ʙᴇᴛᴡᴇᴇɴ ᴛʜᴇ ᴛᴡᴏ ᴠᴇᴄᴛᴏʀs.
ᴠ = 3ɪ + ᴊ - 2ᴋ = ᴠ1 ɪ + ᴠ2 ᴊ + ᴠ3 ᴋ
ᴡ = ɪ - 3ᴊ + 4ᴋ = ᴡ1 ɪ + ᴡ2 ᴊ + ᴡ3 ᴋ
ᴠ x ᴡ = (ᴠ2 ᴡ3 - ᴠ3 ᴡ2) ɪ + (ᴠ3 ᴡ1 - ᴠ1 ᴡ3) ᴊ + (ᴠ1 ᴡ2 - ᴠ2 ᴡ1) ᴋ
ᴠ x ᴡ = (1 * 4 - (-2) * (-3)) ɪ + ((-2) * 1 - 3 * 4) ᴊ + (3 * (-3) - 1 * 1) ᴋ
ᴠ x ᴡ = (4 - 6) ɪ + (-2 - 12) ᴊ + (-9 - 1) ᴋ
ᴠ x ᴡ = -2 ɪ - 14 ᴊ - 10 ᴋ
ᴀʀᴇᴀ = || ᴠ x ᴡ || = √ ( (-2) ² + (-14) ² + (-10) ² ) = 17.32
sᴇᴇ ᴀᴛᴛᴀᴄʜᴇᴅ ʟɪɴᴋ ғᴏʀ ᴍᴏʀᴇ ɪɴғᴏʀᴍᴀᴛɪᴏɴ ᴀɴᴅ ᴀɴ ᴇxᴀᴍᴘʟᴇ.......
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MahiSandhu:
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